Texas instruments CABRI GEOMETRY II Guidebook

CABRI GEOMETRYë II

Guidebook for Macintoshë, Windowsë, and MS-DOS

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For more information about TI products and services, contact TI by e-mail or visit the TI calculator home page on the world-wide web.

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Cabri Geometry II is a trademark of Université Joseph Fourier. Macintosh is a registered trademark of Apple Computer Corporation Incorporated. MS-DOS and Windows are registered trademarks of Microsoft Corporation. PostScript is a registered trademark of Adobe Systems Incorporated.

CABRI GEOMETRY II

Guidebook for Macintosh

and MS-DOS

, Windowsë,

Dive into Geometry

About Cabri Geometry II

Cabri Geometry II lets you construct and explore geometric objects interactively. Jean-Marie Laborde and Franck Bellemain developed Cabri Geometry II at the Institut d'Informatique et Mathématiques Appliquées de Grenoble (IMAG), a research lab at the Université Joseph Fourier in Grenoble, France, in cooperation with the Centre National de la Recherche Scientifique (CNRS) and Texas Instruments.

Texas Instruments, the publisher for Cabri Geometry II in the United States and Canada, is pleased to bring computer-based geometry to classrooms. The geometric foundation of this easy-to-use software encourages exploring and conjecturing—from simple shapes to advanced projective and hyperbolic geometry.

About the Developers

Jean-Marie Laborde is founder and Research Director of Laboratoire de Structures Discrètes et de Didactique (LSD2), a research laboratory within IMAG. He graduated in mathematics at Ècole Normale Supérieure in Paris in 1969. He earned a Ph.D. (Thèse d'État) in computer science at the University of Grenoble in 1977. Jean-Marie began work on the Cabri II project in 1981 as an environment for graph theory. He has devoted his research efforts to the use of geometric methods for the study of different classes of graphs, especially hypercubes.

Franck Bellemain earned a Ph.D. in mathematics at the Université Joseph Fourier in 1992. He began work on the Cabri II project in 1986 and is responsible for writing several versions of the software for Macintosh, PC-compatible, and Japanese computers. His research and thesis have been devoted to the use of technology in the classroom.

Cabri Geometry II Features

¦ Includes interactive analytic, transformational, and Euclidean geometry.

¦ Allows intuitive construction of points, lines, triangles, polygons, circles, and other basic

objects.

¦ Translates, dilates, and rotates geometric objects around geometric centers or specified points

plus reflection, symmetry, and inverse of the objects.

¦ Constructs conics easily, including ellipses and hyperbolas. ¦ Explores advanced concepts in projective and hyperbolic geometry. ¦ Annotates and measures figures (with automatic updating). ¦ Uses both Cartesian and polar coordinates. ¦ Provides for user display of the equations of geometric objects, including lines, circles,

ellipses, and coordinates of points.

¦ Allows the user to create macros for frequently repeated constructions. ¦ Lets the teacher configure tool menus to focus student activities. ¦ Checks geometric properties to test hypotheses based on Euclid’s five postulates. ¦ Hides objects used in constructions to reduce screen clutter. ¦ Differentiates objects through the use of paint-like color and line palettes. ¦ Computes a locus continuously. ¦ Illustrates the dynamic characteristics of figures through animation. ¦ Allows the user to save drawings and macros to disk. ¦ Opens geometry constructions created on the TI-92. ¦ Provides one square meter of full-size work space, and prints the 8.5 by 11.0 inches (21.59 by

27.94 cm) drawing area.

Copying permitted provided TI copyright notice is included

About this Guidebook

CHAPTER 1: LEARNING THE BASICS

First Steps Constructing Objects

.............................................................................

CHAPTER 2: USING THE MENUS

File Menu Edit Menu Options Menu Help Menu

.............................................................................

..........................................................................

.............................................................................

..................................................................

.............................................

...................................................................

...................................................

CHAPTER 3: USING THE POINTER TOOLBOX

Pointer Rotate Dilate Rotate and Dilate

CHAPTER 4: USING THE POINTS TOOLBOX

................................................................................

.................................................................................

.......................................................................

......................................

....................................

1–1

1–2

1–10

2–1

2–2 2–5 2–7

2–12

3–1

3–2 3–3 3–4 3–5

4–1

..................................................................................

Point Point on Object Intersection Point(s)

CHAPTER 5: USING THE LINES TOOLBOX

..................................................................................

Line Segment Ray Vector Triangle Polygon Regular Polygon

...............................................................................

...................................................................................

................................................................................

...............................................................................

........................................................................

...................................................................

........................................

.......................................................................

CHAPTER 6: USING THE CURVES TOOLBOX

.................................................................................

Circle

...................................................................................

Arc

.................................................................................

Conic

.....................................

4–2 4–3 4–4

5–1

5–2 5–4 5–5 5–6 5–7 5–8 5–9

6–1

6–2 6–3 6–4

iii

CHAPTER 7: USING THE CONSTRUCT TOOLBOX

...............................

7–1

Perpendicular Line Parallel Line Midpoint

..............................................................................

Perpendicular Bisector Angle Bisector Vector Sum Compass

............................................................................

..............................................................................

Measurement Transfer

.................................................................................

Locus Redefine Point Redefine Object

.....................................................................

...........................................................................

..................................................................

.........................................................................

..................................................................

.........................................................................

........................................................................

CHAPTER 8: USING THE TRANSFORM TOOLBOX

Reflection Symmetry Translation Rotation Dilation Inverse

CHAPTER 9: USING THE MACRO TOOLBOX

.............................................................................

............................................................................

...............................................................................

................................................................................

.....................................

...............................

7–2 7–3 7–4 7–5 7–6 7–7 7–8

7–9 7–11 7–13 7–14

8–1

8–2

8–3

8–4

8–5

8–6

8–7

9–1

How to create a macro Initial Object Final Object Define Macro

...........................................................................

..........................................................................

..................................................................

CHAPTER 10: USING THE CHECK PROPERTY TOOLBOX

Collinear Parallel Perpendicular Equidistant Member

..............................................................................

...............................................................................

..........................................................................

............................................................................

...............................................................................

......................

9–2

9–3

9–4

9–5

10–1

10–2 10–3 10–4 10–5 10–6

Copying permitted provided TI copyright notice is included

Table of Contents

(continued)

CHAPTER 11: USING THE MEASURE TOOLBOX

Distance & Length

..................................................................................

Area

.................................................................................

Slope

.................................................................................

Angle Equation & Coordinates Calculate Tabulate

..............................................................................

......................................................................

.................................................................

CHAPTER 12: USING THE DISPLAY TOOLBOX

.................................................................................

Label Comments Numerical Edit Mark Angle Fix/Free Trace On/Off Animation Multiple Animation

.............................................................................

.........................................................................

............................................................................

...............................................................................

...........................................................................

.............................................................................

.....................................................................

.................................

...................................

11–1

11–2 11–3 11–4 11–5 11–6 11–7

11–11

12–1

12–2 12–3 12–5 12–7 12–8 12–9

12–10 12–11

CHAPTER 13: USING THE DRAW TOOLBOX

Hide/Show Color

...................................................................................

Fill Thick Dotted Modify Appearance Show/Hide Axes New Axes Define Grid

INDEX

.............................................................................

............................................................................

.................................................................................

................................................................................

.....................................................................

.......................................................................

.............................................................................

.....................................................................................................

......................................

INDEX–1

13–1

13–2 13–3 13–4 13–5 13–6 13–7 13–8 13–9

13–10

About this Guidebook

The Cabri Geometry II Guidebook contains user information about the Cabri Geometry II software. It provides descriptions, procedures, illustrations, and examples for using the software features on Macintosh computers, and Windowsé and MS-DOSë-based PCs.

4 Many of the procedures, illustrations, and examples are virtually the same for the different

computer types. Significant differences between the Macintosh, Windows, and DOS versions are identified for your convenience.

4 Most of the illustrations are from the Macintosh version; several are from the Windows and

DOS versions. Due to space limitations, we could not show every illustration for each version. Therefore, some illustrations in this guidebook may be slightly different on your computer.

4 Key names are shown in small capital letters such as

Escape key. The the same function. In this guidebook, “Press

Structure

The Cabri Geometry II Guidebook contains the following chapters and appendices:

4 Chapter 1 describes the basic operations for using Cabri II, starting with checking system

requirements for installing the software, through constructing objects, to saving and printing a construction file.

4 Chapter 2 describes the Cabri II menus and provides step-by-step procedures for using them.

4 Chapters 3 through 13 describe the Cabri II tools and provide step-by-step procedures for

using them. Each chapter discusses a specific group of Cabri II tools.

Definitions

The following definitions will help you in your understanding of this guidebook.

point When used as an instruction, point means to place the screen pointer on

click Click means to press and release the mouse button quickly, usually when

double-click Double-click means to click the mouse button twice in succession.

RETURN

key on the Macintosh and the

ENTER

top of the object you wish to select.

pointing to a specific location

CTRL

for the Control key and

ENTER

key on the PC keyboard perform

” means to press either

ENTER

ESC

for the

RETURN

drag Drag means to point to the object you want to drag, press and hold the

mouse button to select the object, and move the screen pointer to a new location. Release the mouse button to stop dragging.

modify When used as an instruction, modify means to change the appearance,

size, location, or orientation of the object.

marquee outline Marquee outline is the outline of an object in animated dots, similar to a

movie marquee.

marquee rectangle Marquee rectangle is the selection rectangle that appears when you drag

Pointer

with the

tool from an unoccupied location in the drawing window. When you release the mouse button, objects that lie completely within the rectangle are selected.

Copying permitted provided TI copyright notice is included

Chapter 1: Learning the Basics

This chapter provides descriptions and examples of basic operations in Cabri Geometry II. Becoming familiar with these items will enhance your usage. Differences between the Macintosh, Windows, and MS-DOS versions are explicitly described where applicable. For convenience, DOS will be used in the remainder of this guidebook to mean MS-DOS.

The following topics are discussed:

FIRST STEPS CONSTRUCTING OBJECTS

Checking system requirements Installing Cabri Geometry II Starting Cabri Geometry II Optimizing your Macintosh system

configuration Changing your Macintosh system

configuration using Cabri Geometry II Using Cabri Geometry II on a network The Cabri Geometry II window Accessing on-line help About menus and toolboxes

Pointers that guide you Creating and selecting points Handling ambiguities Determining dependent and independent

objects Dragging Using the Undo/Redo command Deleting objects Changing the appearance of objects Labeling objects Scrolling the drawing window Saving and printing

Chapter 1: Learning the Basics 1-1

First Steps

Checking system requirements

Macintosh DOS

¦ Macintosh Classic or better.

¦ System 6.0 or later.

¦ 1 Mb available RAM for a Macintosh

Classic. (Memory requirements will be greater for color or larger monitors than on the Classic.)

¦ Hard disk with 1.2 Mb available for

program and demonstration files.

Windows 3.1 Windows 95

¦ 386 PC or better required; 486DX

recommended.

¦ PC must be in 386-Enhanced mode with

Virtual Memory enabled.

¦ VGA, SVGA video adapter and a color

monitor.

¦ 6 Mb RAM (minimum) memory installed.

¦ 7 Mb available hard disk space for program,

demonstration files, and system extensions.

¦ Mouse, or an equivalent pointing device.

¦ DOS-compatible computers (PCs), 386 or

better, and running MS-DOS 3.3 or later.

¦ EGA, VGA, SVGA video adapter and a color

monitor.

¦ 3 Mb RAM (minimum) memory installed.

¦ Hard disk with 2.5 Mb available for

program and demonstration files.

¦ Mouse, or an equivalent pointing device.

¦ 386 PC or better required; 486DX

recommended.

¦ VGA, SVGA video adapter and a color

monitor.

¦ 6 Mb RAM (minimum) memory installed.

¦ 2 Mb available hard disk space for program

and demonstration files.

¦ Mouse, or an equivalent pointing device.

Installing Cabri Geometry II

Macintosh DOS

1. Create a folder named disk.

2. Insert the Cabri Geometry II Macintosh diskette in your floppy disk drive.

3. Double-click on the and follow the directions on the screen.

Windows 3.1 Windows 95

1. Insert the Cabri Geometry II for Windows diskette #1 in your floppy disk drive.

2. From Program Manager, click on

A:\SETUP

enter prompts.

, and then follow the screen

Cabri II

Installer

on your hard

on the diskette

RUN

and

1. Insert the Cabri Geometry II DOS diskette in your floppy disk drive.

2. At the DOS prompt, enter:

A:\INSTALL

follow the screen prompts.

1. Insert the Cabri Geometry II for Windows diskette #1 in your floppy disk drive.

2. Click on and then follow the screen prompts.

START/RUN

B:\INSTALL

and enter

, and then

A:\SETUP

Installing Cabri Geometry II on a network

If you have purchased the network license for Cabri Geometry II, you may run the software on your network. Use network procedures that are compatible with your network to install Cabri Geometry II. See your Macintosh, Windows, or DOS User’s manual or your network documentation for more information, if necessary.

Note: Cabri Geometry II is supplied on high-density diskettes. If your computer will not accept these diskettes, call, 1-800-TI-CARES and a service representative will supply you with low density diskettes.

1-2 Chapter 1: Learning the Basics

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Installing Cabri Geometry II on a network

(continued)

Macintosh and DOS

1. Install Cabri Geometry II on the network server using the instructions given on the previous page.

2. Run the program from the server the first time, and enter the requested information.

3. To run Cabri Geometry II on each network client, go to the directory on the network server where the Cabri Geometry II application is installed. Macintosh users may double-click on the Cabri II icon; DOS users may run Cabri2.exe to start the program.

The procedure described below, for Windows users, allows multiple client computers to run Cabri Geometry II using the application software installed on the network server. Each client computer is provided with the necessary system files to run Cabri Geometry II and a shortcut icon that is linked to the application file on the network server.

Windows 3.1 and Windows 95

1. Install Cabri Geometry II on the network server using the instructions given on the previous page. In the

Select Destination

screen, you must select a directory that will be accessible from each

client computer on the network.

2. Temporarily copy

setup.exe

and

setup.w02

from the installation diskettes to the same directory in

which you installed Cabri Geometry II in step 1.

3. On each network client, go to the directory on the network server that contains

setup.exe

and

double-click to on this file to run the setup program.

4. In the

Select Destination Directory

screen, click on the

Browse

button and select the same directory

that you used in step 1. Make sure the correct directory is displayed at the top of the window.

You may edit the path, if necessary, and then click on

. Ignore the message that the directory

already exists.

5. In the

Select Components

screen, deselect the first three components. The installation program

will determine if the fourth component is necessary for Windows 3.1x users.

6. When Cabri Geometry II has been installed on all client computers, delete the two files that were temporarily copied to the network server in step 2.

Starting Cabri Geometry II

Macintosh DOS

You can use one of four methods to start the software on a Macintosh:

¦ Use

Open

¦ Double-click on the

¦ Double-click on any Cabri Geometry II

construction file, tool configuration file, or macro file.

¦ Drag and drop any construction file onto

Cabri II

the

Windows

Double-click on the

Finder

in the

Cabri II

icon.

icon (System 7 users only).

Cabri II

icon.

Type

CABRI

and press

ENTER

from the DOS prompt directory where the Cabri Geometry II files are located.

(Optional) Add the Cabri directory to your DOS path to open Cabri Geometry II from any directory.

Chapter 1: Learning the Basics 1-3

First Steps

(Continued)

Optimizing your Macintosh system configuration

If you are starting Cabri Geometry II on a Macintosh for the first time, you may need to make some adjustments to make Cabri Geometry II compatible with your Macintosh computer system configuration.

Graphics intensive programs require a large amount of memory to operate. The amount of memory required directly relates to the size of your monitor and to the number of colors chosen to represent graphical elements. Cabri Geometry II may require more memory than other applications due to its interactive nature. Cabri Geometry II can assist you in optimizing your system.

If you see a warning message from the configuration. This message indicates the amount of memory needed to run Cabri Geometry II efficiently on your computer with your current configuration.

Click the windows that are currently open. This frees the memory that these applications are using.

To change the amount of memory allocated to Cabri Geometry II, first make sure the selected. Then, from the decrease the application memory size to a value that is compatible with your computer.

Finder

, you need to make some adjustments to your system

button to proceed (Cabri Geometry II does not start). Then close any applications or

Cabri II

Finder

, select

Get Info

in the

File

menu. Once the

Get Info

window appears,

icon is

If you are using System 7, an optional method is to use

Virtual Memory

to increase the amount of

memory available to applications. See your Macintosh User’s manual for more information.

The previous dialog box indicates the amount of available memory on your computer. You may also select

About this Macintosh

in the

Apple

menu for the same information.

Changing your Macintosh system configuration using Cabri II

If you open Cabri Geometry II and the memory allocation on your Macintosh is not optimal, the following dialog box appears. We recommend that you allow Cabri Geometry II to select optimal

Manual

parameters for your system automatically or that you select them using the

You may wish to quit and modify the settings yourself if you are familiar with the memory and monitor control panels.

If you select the

Automatic

button, Cabri Geometry II computes the optimal settings for your computer and then quits. The number of colors may change in the process of optimizing your configuration. Double-click on the Cabri Geometry II icon for the changes to be applied to Cabri Geometry II.

button.

Manual

If you select the

button, Cabri Geometry II continues to the optimization dialog box (see example on the next page) that allows you to optimize your configuration as you want. Read the items in the

Current Settings

field first, and then manipulate the other fields as described below the example. (You can also access the following dialog box by pressing the the software.)

1-4 Chapter 1: Learning the Basics

OPTION

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key when starting

Status:

The status indicates whether or not Cabri Geometry II can run with the current settings.

# Screen Colors

Memory Setting

# Objects

# Colors

The number of colors used to display objects is directly related to the amount of memory required to execute Cabri Geometry II. You can click on the up or down arrow buttons in this field to change the number of

Status

screen colors. Check the acceptable. Click on

to continue.

field to determine if these values are

The amount of memory available and the number of colors displayed determine the number of objects that can be constructed. You can click on the up and down arrow buttons in this field to change the amount of memory allocated to Cabri Geometry II. The value on the left indicates the amount of memory required to run Cabri Geometry II on your computer in black and white. The value on the right indicates the amount of memory

Status

currently available on your computer. Check the

these values are acceptable. Click on

to continue.

field to determine if

The amount of memory available is directly related to the number of objects that can be constructed. Click on this button to optimize the number of objects that can be constructed. If memory is limited, Cabri Geometry II will probably suggest that fewer colors be used to construct more objects. For optimal performance, Cabri Geometry II attempts to allocate enough memory to construct at least 300 objects.

The number of colors used to display objects is directly related to the amount of memory required to execute Cabri Geometry II. Click on this button to optimize the number of colors displayed. If you use other applications regularly that require 256 colors, you may wish to optimize the number of colors. Given limited memory, this decreases the number of objects that you can construct.

Chapter 1: Learning the Basics 1-5

First Steps

(Continued)

The Cabri Geometry II window

The illustration below shows the Cabri Geometry II window. This window contains the essential elements of the Cabri Geometry II software. A description of each element follows the illustration.

Note: The screen shown below illustrates the Macintosh version. Screens on Windows and DOS systems are similar but slightly different.

Menu Bar

Close Box

Attribute Icons

Drawing Window

Help Icon

Toolbar

Zoom Box

Attribute Palette

This circle

Size Box

Help Window

Elements of the Cabri Geometry II window

Drawing Window Menu bar

1-6 Chapter 1: Learning the Basics

This region is where you build geometric constructions.

The menu bar contains common graphic user interface menus for file management and editing, together with Cabri Geometry II options.

Scroll Bars

Pointer Message Selection Pointer

Copying permitted provided TI copyright notice is included

Toolbar

The toolbar contains tools for building constructions. Eleven toolboxes reside on the toolbar (see illustration below). To access a toolbox, press and hold the mouse button on the icon. The items in that toolbox appear.

Pointer

Points

Lines

Curves

Construct

Transform

Macro

Check Propert

Measure

Displa

Draw

Attribute icons

Help Icon

(Macintosh)

Help menu option

(Windows, DOS)

Selection pointer

Close box

Zoom box

(Macintosh, Windows)

Size box

(Macintosh, Windows)

Scroll bars

(Macintosh, Windows)

The attribute icons are not displayed unless you select the command in the

Options

menu on the menu bar. These allow you to

Show Attributes

modify the appearance of objects. You can create an attribute palette (tear-off menu) by dragging an icon from the attribute icons to the drawing window.

Clicking on the help icon A creates a help window at the bottom of your screen that contains useful help messages for each command. Clicking on the A again removes the help window.

Clicking on the

Help

menu option and selecting

key toggles the help window ON and

OFF

Help

or pressing the

The selection pointer is the primary tool for selecting menus and building constructions. The shape of the pointer changes according to its current operation and location.

The close box closes the window and creates a dialog box that allows you to save your work if you have not done so.

The zoom box toggles the size of the window between the current size and the full screen size.

Dragging the size box to a new location resizes the drawing window.

Clicking in the scroll bars or on the scroll arrows moves the contents of the drawing window vertically or horizontally.

Chapter 1: Learning the Basics 1-7

First Steps

(Continued)

About menus and toolboxes

Operations are grouped by type in the pull-down menus located on the menu bar and on the toolbar. Once a tool is selected, it remains active until you select another tool. If the icon of the tool you want is shown on the toolbar, select it by clicking once on the icon. Commands in the menu bar must be selected each time they are used.

Descriptions of the Cabri Geometry II menus and toolboxes follow:

MENUS Apple

(Macintosh only)

File Edit

Options

Window (Windows)

Help

(Windows, DOS)

TOOLBOXES Tools for ... Pointer Points Lines Curves Construct

Apple menu items or the Cabri Geometry II logo screen.

Commands for opening, closing, saving, or printing constructions.

Commands for selecting or copying objects, refreshing the drawing window, or replaying constructions.

Commands for tool configurations, hide/show attributes, preferences, or setting software defaults (Macintosh only).

Standard Windows display options.

Help options.

Selecting or for free-hand transformations.

Constructing points.

Constructing linear objects.

Constructing circles, arcs, or conics.

Euclidean geometry constructions.

Transform Macro Check Property Measure Display Draw

1-8 Chapter 1: Learning the Basics

Transformational geometry.

Making macros. New macros become part of this toolbox.

Checking properties of constructions based on Euclidean geometry.

Measurements or calculations.

Annotating your constructions or animating objects.

Changing the appearance of objects or displaying the coordinate system.

Copying permitted provided TI copyright notice is included

Accessing on-line help

Macintosh DOS

¦ Access on-line help by clicking on the help

icon A in the menu bar of the Cabri Geometry II drawing window.

¦ A window appears at the bottom of your

drawing that contains information about the tool currently selected.

¦ Select additional tools to see their help

information.

¦ Remove the help window by clicking on

the help icon again or by clicking on the close box in the help window.

¦ The close box appears when you click in

the help window.

Windows

¦ Access on-line help by clicking on the

Help menu option in the menu bar of the Cabri Geometry II drawing window and

Help

selecting

¦ A window appears at the bottom of your

drawing that contains information about the tool currently selected.

¦ Access on-line help by clicking on the

Help menu option in the menu bar of the Cabri Geometry II drawing window and selecting

Help

, or press F1.

¦ A window appears at the bottom of your

drawing that contains information about the tool currently selected.

¦ Select additional tools to see their help

information.

¦ Remove the help window by clicking on

the help icon again or by pressing

¦ Select additional tools to see their help

information.

¦ Remove the help window by clicking on

the help icon again.

Chapter 1: Learning the Basics 1-9

Constructing Objects

Pointers that guide you

Several types of pointers exist to help guide you through your constructions. The pointers are illustrated below.

Pointer Cursor looks like... arrow

cross hair construction pencil selection pencil

pointing hand selection hand

dragging hand open hand

grasping hand

magnifying glass I-beam paint brush

$ &

(

)

# '

The pointer is in the toolbar, menu bar, or scroll bars.

Pointer

The

A construction tool is active.

A construction tool is active and a point can be placed on an object.

A point can be selected.

An object is dependent or to show the intermediate stage between selecting an object and dragging.

An object can be moved.

The (DOS) is pressed.

The window can be scrolled using the mouse.

An ambiguity exists.

Text or numbers can be entered or edited.

Color or attributes can be changed.

tool is active.

COMMAND

key (Macintosh) or the

CTRL

paint bucket

crossed lines column width

4 3

An object can be filled with a pattern or color.

Comment

The

The column width of the table can be adjusted.

option is active.

Creating and selecting point*s

All objects are constructed using one or more points. You create or select points when a tool is active. In general, the order of operation is to select a construction tool from the toolbox, and then to create or select the required points that define the tool.

A point is created by a single click of the mouse. You can create points in unoccupied space when

construction pencil

the two objects when a cursor message appears and the pointer changes to the The following examples illustrate how to create and select points.

# cursor is visible. You can create a point on an object or at the intersection of

selection pencil

' cursor.

1-10 Chapter 1: Learning the Basics

Copying permitted provided TI copyright notice is included

Example 1: Creating the perpendicular bisector of two points

1. Select the

Perpendicular Bisector

tool from the

Construct

toolbox.

2. Move the # to any place in the drawing window and click

(not hold down) once.

A flashing point appears on the window, indicating that this point has been selected for the construction.

3. Move to another place and click again.

A second point appears as well as the perpendicular bisector of the segment connecting these two points. (Note: The segment does not appear.)

If the pointer is near a valid object, a cursor message is displayed. In some cases, it is sufficient to select only one object to define a construction, as the next example demonstrates.

Example 2: Creating the perpendicular bisector of a side of a triangle

1. Select

Triangle

from the

Lines

toolbox.

2. Move the # to any place in the drawing window and

click. Move to a second location and click, and then to a third location and click.

A triangle appears in the drawing window with the three points selected as vertices.

Note: Depending on the speed at which you constructed these three points, the sides of the triangle might appear during the construction. Try doing this slowly and watch the triangle materialize.

3. Select

Perpendicular Bisector

from the

Construct

toolbox.

Chapter 1: Learning the Basics 1-11

Constructing Objects

(Continued)

4. Move the cursor as follows so that the message

Perpendicular bisector of this side of the triangle

When the cursor is in unoccupied space in the drawing window, the # appears. Move the cursor near a side of the triangle. The cursor changes from the # to the $ with the message

Perpendicular bisector of this side of the triangle

(If the cursor is near a vertex of the triangle, the cursor message

This point

appears.)

Click once, and the perpendicular bisector of the side of the triangle appears.

Handling ambiguities

appears.

Perpendicular bisector of this side of the triangle

When two or more objects simultaneously occur at the location of the pointer, the * cursor and the cursor message

Which object?

appear. Press and hold down the mouse to see the

magnifying glass

options in a dialog box. Select an object by pointing to the appropriate choice in the box and releasing the mouse.

When multiple objects are present, they are listed in the order in which they were created. Selecting an object causes it to display in marquee outline. You can move (drag) it to a new

Pointer

location if it is an independent object and the

tool is selected. Click in unoccupied space to

deselect the object. If you are using a construction tool, the object is selected for the construction.

Determining dependent and independent objects

All objects are created using one or more points. The manner in which you create an object determines whether it is dependent or independent of the object. This distinction becomes very important with respect to dragging objects. An example of this distinction is given after the section “Dragging.”

A point constructed by itself is called a basic point.

An independent object is an object created using only basic points. Independent objects can be moved (dragged) but not modified directly. By moving the basic points used for their construction, you can modify them indirectly.

A dependent object is an object constructed using an independent object (or another dependent object). Dependent objects cannot be moved (dragged) or modified directly. You can move or modify them indirectly by moving the basic points or independent objects responsible for their existence.

The more elaborate a construction becomes, the more difficult it can be sometimes to distinguish these types. However, the Cabri Geometry II software will assist you.

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Dragging

Dragging objects is valuable for generating conjectures. You can modify an object by dragging all or part of it to a new location. Whether or not an object can be changed depends directly on how it was created.

You can drag (move) a basic point to a new location, modifying, in turn, any object constructed

Pointer

using it. An independent object can be modified with one of the tools from the cannot alter a dependent object directly by dragging, but you can change it by dragging the basic points used in its construction.

toolbox. You

Whenever an object can be dragged, the pointer changes to the then to the

dragging hand

% cursor. When the % is visible, the selected object follows the pointer as

selection hand

& momentarily and

you move it.

If your computer's performance is sluggish, you may need to move the pointer to the location you want and wait for the computations to finish with the new characteristics. This is particularly evident when there are many objects in the drawing window.

If the object is dependent (cannot be dragged), the pointer changes to the reverts to the

cross hair

! cursor.

selection hand

& and then

Example 3: Evaluating basic points, independent objects, and dependent objects

1. Construct the perpendicular bisector of a side of a triangle (see Example 2).

(The vertices are basic points, the triangle is an independent object, and the perpendicular bisector is a dependent object.)

2. Basic points:

Pointer

Select

from the

Pointer

toolbox.

Move the ! near a vertex of the triangle (the cursor changes to the $ with the message

Press and hold down the mouse button.

The cursor changes to the & and then almost immediately to the %.

When you drag the point, the triangle changes its size and shape, and the perpendicular bisector changes accordingly.

These results are characteristics of using a basic point.

An inquiry that could be made here is: “When does the

perpendicular bisector of one side of a triangle contain a vertex of the triangle?”

This point

Chapter 1: Learning the Basics 1-13

Constructing Objects

(Continued)

3. Independent objects:

Move the ! near a side of the triangle (the cursor changes to the $ with the message

Press and hold down the mouse button.

The cursor changes to the & and then almost immediately to the %.

Continue to hold down the mouse and move the triangle about the drawing window.

The triangle does not change its size or its shape, while the perpendicular bisector moves along with the triangle. The triangle was constructed using three basic points as its vertices; therefore, it is an independent object and can be moved.

4. Dependent objects:

Move the ! near the perpendicular bisector (the cursor changes to the $ with the message

Press and hold down the mouse button.

This triangle

This line

The cursor changes to the & and then almost immediately back to the !.

The perpendicular bisector cannot be modified directly; it is a dependent object.

Note: You can modify the perpendicular bisector indirectly by dragging the basic points or the independent objects used for its creation.

Example 4: Creating the circumcenter of a triangle

1. Construct the perpendicular bisector of one side of a triangle (see Example 2.)

2. Construct the perpendicular bisector of a second side.

1-14 Chapter 1: Learning the Basics

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3. Choose

Intersection Point(s)

from the

Points

toolbox.

4. Point to one of the perpendicular bisectors (the cursor message

This line

appears) and click once.

The line changes to marquee outline.

5. Point to the other perpendicular bisector. After the cursor message appears, click once.

The first line returns to solid, and a point at the intersection of the two lines appears. This point of

This line

intersection is known as the circumcenter of the triangle.

The vertices of the triangle are basic points. The triangle is an independent object because its existence depends only upon basic points. The perpendicular bisectors are dependent objects because their existence depends upon independent objects (the sides of the triangle). The circumcenter is a dependent object because it was created using dependent objects (the perpendicular bisectors).

In Example 5, we will first create a circle, and then inscribe a triangle. You can move the circle by dragging its center point or modify it by dragging its circumference. The triangle cannot be moved. However, you can modify it by dragging any one of its vertices around the circle.

Example 5: Inscribing a triangle in a circle

1. Choose

Circle

from the

Curves

toolbox.

2. Move the # to any place in the drawing window and click once.

A flashing point appears.

3. Move the cursor away from the flashing point.

A circle appears with the flashing point as its center.

Click again to finish constructing the circle.

Note: The flashing point changes to solid to indicate the construction is completed.

Chapter 1: Learning the Basics 1-15

Constructing Objects

(Continued)

4. Choose

Triangle

from the

Lines

toolbox.

5. Move the # to any point of the circle (the cursor message

On this circle

appears), and click once.

6. Move the cursor to a second and third point on the circle, clicking once at each point.

A triangle becomes inscribed in the circle.

7. Choose

Pointer

from the

Pointer

toolbox.

8. Move the ! cursor near the center point (the cursor message

This point

appears).

Press and hold down the mouse button until the % appears, and drag the center point around the drawing window.

On this circle

Note: The radius of the circle remains unchanged.

9. Move the ! near the circumference of the circle (the cursor message

This circle

appears).

Press and hold down the mouse button until the % appears, and drag the circumference.

Note: The center point of the circle remains fixed while the radius changes, and the vertices of the triangle stay on the circle.

10. Move the ! near a vertex of the inscribed triangle (the cursor message

This point

appears).

Press and hold down the mouse button until the % appears, and then drag the point.

Note: The point can only be moved along the circle.

If you move the pointer while creating points, Cabri Geometry II reverts to dragging. This feature anticipates your intent to modify your construction without requiring you to return to the

Pointer

toolbox. However, it can create some confusion if you are creating points quickly and inadvertently move the pointer while pressing the mouse. In this case, a point will not be created.

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Using the Undo/Redo command

You can cancel an operation that has just been completed by using the

Edit

menu. Only the most recent operation can be undone.

To review additional steps in your construction, see the

Replay Construction

Undo/Redo

command in the

Edit

menu. This command allows you to replay each step of a construction.

Deleting objects

Delete objects by selecting them, and then pressing

Edit

menu.

DELETE

or selecting the

Select multiple objects by pressing the mouse in free space and dragging a marquee rectangle around the objects to be deleted. Only objects that are fully enclosed by the marquee rectangle will be deleted. All selected objects are displayed in marquee outline.

Select all objects in the drawing window by using the press

DELETE

pressing pressing

or select

COMMAND+A DELETE

Clear

from the

(Macintosh) or

Edit

menu. You can also clear the entire drawing window by

CTRL+A

(Windows, DOS) simultaneously, releasing, then

Select All

command in the

WARNING! When an object is deleted, all objects that depend on that object are deleted as well. It is possible to delete an entire construction by deleting a single point. If you accidentally delete an object, you can recover it by using the

Undo/Redo

command in the

Edit

menu.

Example 6a: Deleting objects — Method 1

Clear

command in the

Edit

menu. Then

1. Construct a circle and an inscribed triangle (see Example 5).

2. Select

Pointer

from the

Pointer

toolbox.

3. Point to the center point of the circle and click.

The center point flashes.

Press the

DELETE

key.

The point, the circle, and the triangle disappear.

This point

Chapter 1: Learning the Basics 1-17

Constructing Objects

(Continued)

Example 6b: Deleting objects — Method 2

1. Repeat steps 1 and 2 in Method 1, or select

Edit

the

menu.

Undo/Redo

2. Point to the circle and click.

The circle appears in marquee outline.

Press the

DELETE

key.

The circle and the triangle disappear, but the center point remains.

Example 6c: Deleting objects — Method 3

1. Repeat steps 1 and 2 in Method 1, or select

Undo/Redo

2. Point to the triangle and click.

Press the

DELETE

key.

The triangle disappears, but the circle, its center point, and the vertices of the triangle remain.

Example 6d: Deleting objects — Method 4

This circle

This triangle

1. Repeat steps 1 and 2 in Method 1, or select

Undo/Redo

2. Point to a vertex of the triangle and click.

Press the

DELETE

key.

What happened? How does this differ from Method 3?

This point

1-18 Chapter 1: Learning the Basics

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Changing the Appearance of Objects

You can change the appearance of objects from the

Access the

Attributes

toolbox, use the

toolbar from the

Fill, Thick, Dotted

To apply attributes from tools in the modified. To use an option from the

Hide/Show Attributes

Modify Appearance

, or

Draw

menu, select the tool, and then select the object to be

Attributes

toolbar, first select the objects to be modified, and

Attributes

toolbar or the

command in the

tools.

Draw

Options

toolbox.

menu. In the

then select the attribute.

Labeling objects

You can label points in two ways — as you create them or with the

Label

tool in the

Labeling objects as they are created is intended for quick access and is limited to five alphanumeric characters. Editing is not available at this stage. However, after constructing the

Label

object, you can edit the label with the

tool.

Example 7a: Adding labels during construction

1. Select

Triangle

from the

2. Click on the drawing window. Then type

A point appears with a label

Lines

toolbox.

beside it.

Display

toolbox.

Draw

3. Move the # , click once, and then type

Another point, a segment connecting the two points,

and a label

4. Move the # to a new position, click once, and type

The completed triangle appears as well as the label

appear.

beside the last point created.

The

Label

tool in the

Display

toolbox allows you to attach labels to a point, line, or circle. Once

attached to the object, labels cannot be detached. You can position them near the object using the

Pointer

, and they will retain that position through all modifications to the object.

Chapter 1: Learning the Basics 1-19

Constructing Objects

(Continued)

Example 7b: Adding labels after construction

1. Select

Triangle

from the

Lines

toolbox.

2. Construct a triangle on the drawing window.

3. Select

Label

from the

Display

toolbox.

4. Move the ! near a vertex of the triangle.

The cursor changes to the I-beam I (the cursor message

This point

appears).

5. Click once and an edit box appears.

Note: (Macintosh only) On the top row are four options that generate pull-down menus:

for font size, F for font style, and the last box for text

for font character set,

color.

This point

6. Type a name for the vertex, and then click anywhere

New York City

outside the edit box.

The box disappears, but the name remains.

7. Repeat for the other vertices.

Los Angeles Miami

You can also apply comments to measurements immediately after creating them. Just begin typing characters after creating the measurement.

1-20 Chapter 1: Learning the Basics

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Example 8: Comments

1. Select

Triangle

from the

2. Construct a triangle and label its vertices

3. Select

Area

from the

Lines

toolbox.

Measure

toolbox.

A, B

, and C.

4. Move the cursor to a side of the triangle until it changes to the $ (the cursor message

This triangle

appears), and

click once.

Depending on the triangle and the default settings, a

number and units label, such as 4.520 cm

5. Begin typing the comment

Area of ABC =

, appears.

The comment attaches to the left side of the measurement.

6. Select

Comments

from the

7. Move the 4 near the area (the cursor message

text

appears and the cursor changes to the I).

Display

toolbox.

Edit this

Click once and an edit box appears with the value of the area and the comment entered in step 5 on the text line.

This triangle

Area of ABC = 4.520 cm

8. Move the cursor between line, and add the word

The text now reads

“of”

triangle

Area of triangle ABC = 4.520 cm

“

9. Click on the toolbar or press

ESC

ABC

“

and

to make the edit box disappear, leaving the comment on the drawing window.

”

in the text

Area of ABC = 4.520 cm

.”

Area of triangle ABC = 4.520 cm

Chapter 1: Learning the Basics 1-21

Constructing Objects

(Continued)

Scrolling the drawing window

You can scroll the drawing window within a one-square-meter region by three methods:

4 Use the Show Drawing command in the File menu to view the entire one-square-meter region

in compressed form. You can reposition the active widow, which allows you to work in another section of the drawing. (Note: When you click and hold the mouse button, the grasping hand cursor ()) appears.)

4 Use the scroll bars on the right and bottom sides of the drawing window (Macintosh only).

Clicking on the scroll bars or buttons moves the drawing in a horizontal or vertical direction.

4 Press the

left mouse button. The screen scrolls in the direction that you move the pointer.

COMMAND

key (Macintosh) or the

key (Windows, DOS), then press down on the

CTRL

Saving and printing

You can save a construction to a file at any time using the menu. If the construction has never been saved, these two commands have the same effect.

Save

The stored. If the construction has already been saved, the has been modified since the previous save. The new version of the construction replaces the older one.

The the older version.

You can print your Cabri Geometry II constructions on a printer. Printed constructions enhance understanding by providing accurate, printed-to-scale manipulatives. The entire one-square-meter drawing or a specified portion can be printed in both black and white, or color.

dialog box allows you to name the construction and to choose the folder where it will be

Save as...

command allows you to save the figure to another folder or name without deleting

Save

command is active only if the figure

Save as...

and

commands in the

File

1-22 Chapter 1: Learning the Basics

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Chapter 2: Using the Menus

The Cabri Geometry II menus contain standard graphic user interface functions for file management and editing, plus options for Cabri Geometry II. They are located on the menu bar at the top of the Cabri Geometry II window.

The following menu options are available. Each option is discussed in this chapter in detail according to its order on the pull-down menus.

FILE MENU EDIT MENU OPTIONS MENU HELP

New Open...

Close Save Save as... Revert...

Show Drawing... Show Page... Page Setup... Printer Setup... Print... Quit

Note:

Macintosh only

DOS only

Windows only

Macintosh, DOS only

Macintosh, Windows only

Undo/Redo Cut Copy Paste Clear Select all

Select all Replay

Construction Refresh Drawing

Show/Hide Attributes

Defaults...

Preferences... Tool

Configuration... Language Font Size Style

Help

(Windows, DOS) A (Macintosh)

About (Cabri II...)

Chapter 2: Using the Menus 2-1

File Menu

File

The Cabri Geometry II constructions.

A description of each item in the File menu as it relates to Cabri Geometry II is given below. Consult your Macintosh, Windows, or DOS User’s Guide for more information on the following menu items:

New

menu contains commands that relate to opening, closing, saving, printing, and viewing

New, Open, Close, Save, Save as, Page/Printer Setup, Print

, and

Quit

Keyboard shortcut:

New

The

command opens a new, blank Cabri Geometry II drawing window. For the Macintosh and

COMMAND+N

(Macintosh);

CTRL+N

(Windows,

DOS

)

Windows versions, the window appears on top of all other windows and is the active window. The window is not assigned a name until you save it using

Save

Save as

. For the DOS version, only one drawing window at a time is displayed. Therefore, you are prompted to save your current drawing before the new drawing window takes effect.

Open...

Keyboard shortcut:

Open

The

command generates a dialog box for opening an existing construction file, macro, tool

COMMAND+O

configuration file, preference file, or TI-92 file. Use the dialog box to specify the folder and file to open.

A construction file is displayed with the view that was visible when the file was last saved. You can view a summary of the steps used to create the construction interactively by selecting

Construction

in the

Edit

menu.

A macro appears in the

A tool configuration file immediately alters the Cabri Geometry II tool configuration as defined in the file. See

Tool Configuration

A preference file immediately alters Cabri Geometry II preferences as defined in the file. See

Preferences

in the

Options

(Macintosh);

Macro

toolbox and may be used immediately in the construction.

Options

in the

CTRL+O

menu for more information.

(Windows,

DOS

)

menu for more information.

Replay

Close

Keyboard shortcut:

side of the active window in the title bar.

The

command (Macintosh, Windows) closes the active drawing window. If changes were made to the construction file, the changes. If the file is new, the dialog changes to the active in your computer's memory after all files have been closed and does not free memory for applications other than Cabri Geometry II.

COMMAND+W

Save

Keyboard shortcut:

Save

The

command saves the construction in the active drawing window to the file name specified previously. The remains open and active after saving.

The current view of a construction is saved with the file so that it opens to the same view when reopened. Any macros used in the construction are automatically saved with the file and are available for use in future edit sessions with the saved file.

2-2 Chapter 2: Using the Menus

COMMAND+S

Save as

dialog box appears if the file was not saved previously. The construction

. You also can click in the close box, located on the top left-hand

dialog box appears and provides the option to save the

Save

dialog box. Cabri Geometry II is still

(Macintosh);

CTRL+S

(Windows,

)

DOS

Copying permitted provided TI copyright notice is included

Save as...

Save as

The drawing window. The

... command generates a dialog box for saving and naming the construction in the active

Save as

dialog box provides the interface for saving a new file, saving a file to a new file name, file type, or location, or saving an existing file. Enter the information requested in the dialog box to save the file.

For the Macintosh only, you can save the file as a text file if you wish to view its contents with another program. For example, you can copy data in the Cabri Geometry II table to word processing or spreadsheet files for further analysis using this method.

Revert...

The useful if you make modifications to your file that you later want to disregard. useful when demonstrating a construction in the classroom.

command returns the construction to its most recently saved version. This feature is

Revert

is especially

Show Drawing...

(Macintosh, DOS),

Show Page...

(Windows)

The size of the drawing window in which you build a geometric construction is one meter by one meter.

Show Drawing/Show Page

lets you view this entire region. The entire figure, with the exception

of text or measurement, is displayed in the following dialog box shown below.

A small window represents the portion of your construction that is visible on your computer screen. The construction cannot be manipulated at this stage, but you can position the window anywhere within the one-square-meter a new section of your construction. Click

limits of the construction. Drag the window to move it to

Cancel

to accept or cancel the operation.

4 For the Macintosh, the visible part of your construction can also be moved by clicking on the

scroll bars or by dragging the drawing window while pressing the

COMMAND

the

key changes the pointer to the

COMMAND

key changes the pointer to the

method without accessing the

Show Drawing/Show Page

open hand

( cursor; pressing the mouse button and

grasping hand

) cursor. You can perform either

command.

COMMAND

key. Pressing the

4 For the DOS versions, the visible part of your construction can also be moved by dragging the

drawing window with the changes the pointer to the pointer to the

Show Drawing/Show Page

grasping hand

open hand

) cursor. Moving the pointer to the drawing window

( cursor; pressing the left mouse button changes the

) cursor. You can perform either method without accessing the

command.

4 For the Windows version, the visible part of your construction can be moved by also clicking

on and then dragging the drawing window.

Page Setup...

(Macintosh, Windows)

Page Setup...

The

command lets you specify the paper size and orientation (landscape or portrait),

as well as other options that vary according to the printer.

Note: Cabri Geometry II prints figures to scale. That is, a triangle in your construction will be printed exactly as specified, preserving the length of the sides and the measurement of the angles. If you change the

Reduce or Enlarge

option from 100%, the exact size of the figure will not be

preserved.

Chapter 2: Using the Menus 2-3

File Menu

(Continued)

Print...

The several options for printing your construction. After specifying the options you want in and

The

(Macintosh, Windows)

command for the Macintosh and Windows versions opens a dialog box that provides

, click the

Placement options...

button to send your construction to the printer.

(Macintosh only) lets you position your construction as it will appear on a

Page Setup

printed page by dragging the clear page in the screen. The drawing window (your computer screen) is shown for a reference. Select

Print labels in Italics

to automatically print all labels in italic

font.

If your construction requires more than one page, select the

Posterize

option (Macintosh only) to number each page. You can select the position of the pages by using the pointer to drag the center page (outlined with bold lines) in the drawing region. You can change the number of pages by dragging the boxes in the upper-left and lower-right corners of the print region. This option makes it fun to create very large drawings, which can be taped together.

Printer Setup...

The

(DOS)

command for the DOS version lets you select a printer and respective print quality, and to specify the page size (US Letter, US Legal, or A4 Letter) and orientation (portrait or landscape). Click on the selections to see the menu options.

Printer

The

option lets you select one of the printers listed below. If your specific printer is not in this list, select a printer that may be similar. (Note: The print quality setting that you select may affect the throughput of your printer. Allow ample time for high quality printer settings.)

¦ IBM/Epson 9 pin ¦ IBM/Epson 24 pin ¦ Epson Stylus Color ¦ DeskJet 500

Print...

(DOS)

¦ DeskJet 500C (CYM) ¦ DeskJet 500C (RGB) ¦ LaserJet HP ¦ Proprinter XL

The size of the drawing window in which you build a geometric construction is one meter by one

meter.

lets you view this entire region before printing your construction. The entire figure,

with the exception of text or measurement, is displayed.

A small window represents the portion of your construction that will be printed. The construction cannot be manipulated at this stage, but you can position the window anywhere within the onesquare-meter construction. Click

limits of the construction. Drag the window to move it to a new section of your

Cancel

to accept or cancel the operation. Clicking on OK sends the screen

image to your printer.

Quit

Keyboard shortcut:

Quit

The

command closes all open files and quits Cabri Geometry II. It gives you the opportunity to

COMMAND+Q

save changed or unsaved files.

(Macintosh);

CTRL+Q

(Windows, DOS)

2-4 Chapter 2: Using the Menus

Copying permitted provided TI copyright notice is included

Edit Menu

Edit

The for exporting items in the drawing to the clipboard, and commands for selecting and deleting items in the drawing.

Undo/Redo

menu contains commands that relate to modifying the construction sequence, commands

Keyboard shortcut:

Undo/Redo

The

COMMAND+Z

command lets you undo the previous action or redo the undone action. These

commands have a recall of one action only. If you wish to review additional action steps, see

Construction

on the next page.

The Windows version has an option in the command. Disabling

Undo

(Macintosh) or

Options/Preferences

CTRL+Z

(Windows, DOS)

menu to let you disable the

Undo

provides for faster manipulation of very large and complex figures.

Replay

Cut/Copy/Paste

For the Macintosh and Windows versions, the

Cut, Copy

Macintosh/Windows clipboard to import and export selected items to and from a construction. For the DOS version, these edit commands use a custom Cabri Geometry II clipboard.

Cut

removes the selection from the construction and places it on the clipboard (Macintosh,

Windows), or in the file

Copy

places the selected objects on the clipboard without removing them from the construction.

$CLIPCAB.FIG

(DOS).

Additionally, for the DOS version, the selection is saved to a file depending on the type of items that are selected. Copying a construction creates two files Copying a table that contains data creates the file

$CLIPCAB.TXT

construction or table into another application, such as a word processor or spreadsheet, when using the DOS version, select the objects and click on insert the appropriate

Paste

copies the objects from the clipboard into the drawing window that is active. After pasting,

.BMP, .FIG

, or

file to the desired location.

.TXT

the clipboard still contains the objects. Therefore, you can paste them in another location or Cabri file, if you desire. In general, objects can be pasted as many times as available memory allows. One exception is copying the table. Because Cabri Geometry II defines only a single table and the contents of a table are dependent upon other objects, Cabri Geometry II cannot duplicate the table within the software. Further, only the contents of the table (the numerical values) are copied to another application.

Paste

, and

commands use the

$CLIPCAB.BMP

and

$CLIPCAB.FIG

. Therefore, to copy and paste a

Copy

. Then open the other application and

Objects are pasted in the same position in which they were copied. If you are pasting to the same Cabri Geometry II drawing from which you cut or copied the objects, they are pasted in the same position but with a small offset in location. The pasted objects are independent of the objects from which they were cut or copied.

Keyboard shortcuts:

(Macintosh) or

COMMAND+X

CTRL+C

(Windows, DOS) for

Paste

(Macintosh) or

Clear

The to pressing the

command removes selected objects from the construction. This command is equivalent

DELETE

key. Objects are not placed on the clipboard.

CTRL+X

Copy

(Windows, DOS) for

, and

COMMAND+V

Cut

COMMAND+C

(Macintosh) or

CTRL+V

Chapter 2: Using the Menus 2-5

Edit Menu

(Continued)

Select all

Keyboard shortcut:

Select al

The

COMMAND+A

l command selects every object in a construction. Using

(Macintosh) or

CTRL+A

(DOS)

Select all

and then

Clear

is an

easy way to erase the contents of a construction to start again with a clean drawing.

Replay Construction

The construction. You may stop the replay at any step in the construction and begin editing. If you stop the replay before the end of the construction is reached and begin to edit, all subsequent steps in the original construction are nullified. A floating toolbar is generated when this command is selected. Note that the Macintosh version provides several additional buttons.

command for the Macintosh and Windows versions replays each step of a

Macintosh

Stop Fast Pause Fast Continuous

Foward Reverse

Begin Reverse Forward End

Windows

Button descriptions

Replay Construction

The

command for the DOS version replays each step of a construction when you press the left and right arrow keys on the keyboard. Pressing the right arrow key replays the construction in the forward direction and pressing the left arrow key replays the construction in the reverse direction. Unlike the Macintosh and Windows versions, you cannot edit a construction if you stop the replay before you reach the end of the construction. When you click the mouse at any point during the replay, the entire construction is displayed.

Refresh Drawing

Keyboard Shortcut:

Refresh Drawing

The

COMMAND+F

command redraws every object of a construction. In the process of redrawing,

undefined elements are removed. Pixels turned on by

(Macintosh, Windows) An alternative method for redrawing the construction is to click on the zoom box in the top right corner of the drawing window. This action also causes the window to expand to its logical maximum size. Clicking the box again causes the window to shrink back to its previous size.

(Macintosh) or

CTRL+F

(Windows, DOS)

Trace

are removed in this manner.

2-6 Chapter 2: Using the Menus

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Options Menu

Options

The setting defaults, and defining the contents and configuration of the toolbar.

Hide/Show Attributes

The command from one to the other.

menu contains commands that relate to showing attributes of each construction tool,

command hides and shows the attributes toolbar. You can toggle the

Defaults...

The colors and attribute settings for various classes of objects. The defaults can be saved to the Cabri Geometry II preference file. If the Cabri Geometry II preference file is placed in the Cabri Geometry II preferences folder or the system preferences folder, the settings saved in this file will be activated each time you open Cabri Geometry II. The Default Options dialog box is shown below. Click the

(Macintosh only)

command for the Macintosh version provides options that allow you to select default

Factory Settings

button to return each default to its factory specification.

Preferences...

The coordinate system, measurements, and equation formats. A dialog box, as shown on the next page, appears when you select this command. The options are described below the illustration.

The settings specified in Cabri Geometry II preferences file. This file also contains the defaults specified using the command. This file must reside in the Cabri Geometry II preferences folder or your Macintosh system preferences folder for it to be automatically referenced at run time. If more than one Cabri Geometry II preferences file is in either of these folders, Cabri Geometry II will use the first file that it finds. The Cabri Geometry II preferences file and preferences folder are created when a preference file or tool configuration file is saved to disk for the first time.

This menu option in the DOS version is very similar to the Macintosh version. However, only one preference file (cabri2.prf) can exist in the same subdirectory. Additionally, when you select

Preferences

the next time. To change preferences, go back to back to

Factory Settings

command lets you specify particular aspects of the program related to loci, the

Preferences

and save to a file, the new preferences will be used when you start Cabri Geometry II

for the Macintosh and Windows versions can be saved to a

Preferences

and change the settings or set them

Defaults

Chapter 2: Using the Menus 2-7

Options Menu

(Continued)

Macintosh, DOS Windows

(DOS only)

Loci options

Coordinate System

Displayed Precision

Default Units

Equation Formats

This option applies to all loci constructed in the drawing.

Locus

The

tool performs a linear interpolation of the loci calculated. Therefore, the more objects in the locus, the smoother it will appear. You can change this number in this dialog box for the default setting or for a specific locus by selecting the locus, and then changing the values in this dialog. You can also change the number of objects in the locus by selecting

the locus, and then pressing + or − on the keyboard to increase or

decrease the number of objects.

Selecting the

Link points Envelope

option connects adjacent points with a solid line.

option draws only the envelope of a line as the locus

rather than the locus of the line.

The default coordinate system can be set up for Cartesian or polar coordinates.

Select the precision of the units displayed. Cabri Geometry II always uses the maximum precision of the Macintosh when measuring objects. You can display additional precision by using

Numerical Edit

in the

Display

toolbox.

Select the units you want when measuring objects. The default unit for length also specifies the unit for area.

Select the equation formats you desire from the option listed for lines, circles, and conics. Some formats for conics may not be possible for all conics that can be constructed.

Presentation Font

This DOS-version option doubles the size of the text font for readability (e.g., for presentations).

Keyboard shortcut:

2-8 Chapter 2: Using the Menus

CTRL+D

Copying permitted provided TI copyright notice is included

Geometry

This Windows-version option lets you select if points should be implicitly defined, and if objects should be drawn to infinity.

Default Styles

This Windows-version option lets you choose colors and font options for all toolbar commands.

System options

This Windows-version option lets you set the following:

Bitmap Copy:

œ Enhanced MetaFile format (EMF) for 32-bit versions of

Windows for high-quality, smooth lines.  Supports only bit-mapped format (BMP), which is optional for Windows 95 and required for Windows 3.1x.

System Pallet:

Defines the color palette to use when Cabri is in the

background and the palette is changed by another application. œ Cabri colors will change when another option is brought to the foreground.  Cabri uses only colors present in the default system palette.

Disable Undo:

Undo

is enabled. 

Undo

is disabled, which provides for

faster manipulation of very large and complex figures.

Cursor Font:

Lets you define the display font to use for display

indicators.

Menu Font:

Lets you define the display font to use for menu options.

Tool Configuration...

The toolbar to the aptitude of their class. You can rearrange or remove any tool in the toolbar. You can place a tool configuration file in the preferences folder to automatically open Cabri Geometry II with the tool configuration specified in that file. The following steps show you how to customize your toolbar.

command allows teachers to configure Cabri Geometry II tools in the

1. Select

Tool Configuration

in the

Options

menu.

2. To remove any tool from its current toolbox, select the tool.

The tool becomes attached to the pointer.

3. To relocate the attached tool to an existing toolbox, open any toolbox.

The relocated tool is inserted immediately below a tool that you highlighted with the cursor. The tool will be copied to the top of the toolbox if you do not highlight another tool.

4. To relocate the attached tool in a new toolbox, click in any empty section of the toolbar. To remove the tool from the toolbar, click on the toolbar trash can.

5. To add spaces between a toolbox or tool, press the spacebar while pressing and holding the mouse button down. You can add up to five spaces between toolboxes or tools.

To remove spaces between a toolbox or tool, press the

BACKSPACE

key while pressing and

holding the mouse button down.

6. Add a password to prevent the tool configuration from being changed inadvertently.

7. Save your new tool configuration. If you save it to a tool configuration file, you can use the same configuration in future sessions of Cabri Geometry II. Otherwise, the configuration is only valid for the current session. If you want to return the tool configuration back to the factory configuration, click on the

Factory Settings

button.

Chapter 2: Using the Menus 2-9

Options Menu

(Continued)

Languages

The messages, and labels. You may change the language at any time during a session.

Language settings

The

4 Choose the language to be used the next time you start Cabri Geometry II.

4 (Macintosh only) Choose to attach a language to the Cabri Geometry II software. Cabri

Geometry II can recognize any language module that is in the same folder. This command integrates the language as part of the Cabri Geometry II software.

(Macintosh, Windows)

command lets you change the language of Cabri Geometry II menus, dialog boxes,

Macintosh Windows

command opens a dialog box that lets you:

4 (Macintosh only) Choose to exclude a language from the Cabri Geometry II software.

¦ If the

And save in a file

be reattached later.

And save in a file

reinstall the software (for core languages) or place a language file in your Cabri folder.

option is selected, the language will be saved in a separate file and can

option is not selected, the language will not be available unless you

2-10 Chapter 2: Using the Menus

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Font

(Macintosh, Windows)

Font

The

command in the Macintosh and Windows versions lets you view the fonts installed on

your computer. The √ symbol in the Macintosh version is shown next to the default font. The

default font applies to labels, comments, numerical values, and properties. You can specify fonts independently for the

Label, Comments

Numerical Edit

, or

tools by first selecting the tool, and then

changing the font in this menu. Point to another font to select it as the new default font.

Note: The Windows version dialog box lets you set the font size and style.

Size

(Macintosh)

Size

The

command in the Macintosh version lets you view the font sizes available on your

computer. The point sizes in outlined text are sizes that your Macintosh should display without

distortion. The √ symbol is shown next to the default size. The default size applies to labels,

Label

comments, numerical values, and properties. You can specify size independently for the

Comments

Numerical Edit

, or

tools by first selecting the tool, and then changing the size in this menu.

Point to another size to select it as the new size. For classroom demonstrations, it is useful to set the default font size at 14 or 18 points.

Style

(Macintosh)

Style

The

command in the Macintosh version lets you view the text styles available on your computer. Text styles are independently applied to text and may be combined. For example, you can specify bold-italic text by selecting each style type separately. The default style applies to labels, comments, numerical values, and properties. You can specify style independently for the

Label, Comments

Numerical Edit

, or

tools by first selecting the tool, and then changing the style in this

menu.

Chapter 2: Using the Menus 2-11

Help Menu

(Windows and DOS),

Help

The helpful information about each toolbar icon and information about the Cabri Geometry II software.

Help

(Macintosh)

menu in the Windows and DOS versions, and A in the Macintosh version, let you view

Keyboard shortcut:

Help

The bottom of the Cabri Geometry II screen. For the Macintosh version, click on A to open the Help window.

command displays a description of the selected toolbar icon in the Help window at the

F1 (DOS)

About (Cabri II)

The names, copyright notice, and the version number of the software.

command displays information about Cabri Geometry II that includes authors’

2-12 Chapter 2: Using the Menus

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Chapter 3: Using the Pointer Toolbox

Pointer

The features allow you to select objects and to perform freehand transformations.

The illustration below shows the location of the along with its pull-down menu. Procedures for using presented in this chapter in the order in which the tools appear on the pull-down menu.

Pointer

toolbox contains the tools associated with Cabri Geometry II pointer features. These

Pointer toolbox

Pointer

toolbox on the Cabri Geometry II toolbar,

Pointer

tools, including examples, are

Rotate

Dilate

Rotate and Dilate

Chapter 3: Using the Pointer Toolbox 3-1

Pointer

The

Press and hold the mouse button in unoccupied space to observe all basic and independent points which display as flashing. You can also double-click on a label, comment, numerical value, or the table to automatically invoke the appropriate edit tool for the object.

Selecting or moving objects

tool selects or moves objects in a freehand manner.

1. Select

Pointer

from the

Pointer

toolbox.

2. Selecting: Select an object by pointing and clicking when the cursor message appears for that object.

key

Select multiple objects by pressing the

SHIFT

when selecting objects, or by enclosing them in a marquee rectangle as shown in the example below.

Deselect an object by pointing to an unoccupied location and clicking.

Moving: Move an object by dragging it to a new location.

Note: Sometimes multiple objects cannot be moved concurrently. Dependent objects cannot be moved directly. If a selected object cannot be moved directly, the cursor reverts to the

dragging hand

of the

% cursor.

cross hair

! instead

Point.

This triangle

Click to select.

Point.

This triangle

Drag.

Example

Selecting multiple objects using a marquee rectangle:

Drag marquee

rectangle

around objects.

3-2 Chapter 3: Using the Pointer Toolbox

Release mouse

button to select

objects.

Copying permitted provided TI copyright notice is included

Rotate

The manner.

Rotating objects

tool rotates an object about its geometric center or about a defined point in a freehand

1. Select

Rotate

from the

Pointer

toolbox.

2. Rotating about the geometric center: Select an object (not a point), and drag it in a circular motion.

Note: Pressing the

key while dragging rotates

SHIFT

the object in 15-degree increments.

Rotating about a defined point: Select a desired rotation point, and drag the object around the point.

Deselect the rotation point by clicking once in free space.

Note: You can rotate an object automatically by using

Animation

the

tool when the

Rotate

tool is visible on the toolbar. See the chapter “Using the Display Toolbox” for more information about

Animation.

Drag object in a circular path.

Select a rotation point.

This point

Drag object in a circular path.

Chapter 3: Using the Pointer Toolbox 3-3

Dilate

The point in a freehand manner.

Dilating objects

tool expands or contracts an object about its geometric center or relative to a defined

1. Select

Dilate

from the

Pointer

toolbox.

2. Dilating about the geometric center: Select an object (not a point), and drag it away from its center to expand, or toward its center to contract.

Note: Dragging an object through its center causes a negative dilation.

Dilating about a defined point: Select a desired dilation point, and drag the object (not the point) in a linear motion.

Note: You can dilate an object automatically by using

Animation

the

tool when the

Dilate

tool is visible on the toolbar. See the chapter “Using the Display Toolbox” for more information about

Animation

Drag object along a linear path.

Select a dilation point.

This point

Drag object along a linear path.

3-4 Chapter 3: Using the Pointer Toolbox

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Rotate and Dilate

The in a freehand manner. See the

Using Rotate and Dilate

tool rotates and dilates an object about its geometric center or a defined point

Rotate

tool and the

Dilate

tool for more information.

Rotate and Dilate

Select

from the

Pointer

toolbox.

Note: You can rotate and dilate an object automatically by using the

Animation

tool when the

Rotate and Dilate

tool is visible on the toolbar. See the chapter “Using the Display Toolbox” for more information about

Animation.

Examples

Freehand rotation and dilation of an object about its geometric center:

Drag object in a circular or linear path.

Freehand rotation and dilation of an object about a defined point:

Select a transformation point.

This point

Drag object in a circular or linear path.

Chapter 3: Using the Pointer Toolbox 3-5

Chapter 4: Using the Points Toolbox

Points

The Geometry II. These features allow you to create points anywhere in the plane, on objects, or at the intersection of two objects.

The illustration below shows the location of the along with its pull-down menu. Procedures for using tools in the examples, are presented in this chapter in the order in which the tools appear on the pull-down menu.

toolbox contains the tools associated with creating or constructing points in Cabri

Points toolbox

Points

toolbox on the Cabri Geometry II toolbar,

Points

toolbox, including

Point

Point on Object

Intersection Point(s)

Chapter 4: Using the Points Toolbox 4-1

Point

The intersection of any two objects.

If you create a point on an object, it remains on that object throughout any changes made to the point or to the object. If a point is at the intersection of two objects, the point remains at the intersection throughout any changes made to the object(s). If you change the objects so that they no longer intersect, the intersection point disappears, but reappears if the objects intersect again.

Creating a point

tool creates points that can be placed anywhere in the plane, on existing objects, or at the

1. Select

Point

from the

Points

toolbox.

2. Move the cursor to any location in the plane where

you want a point. When the cursor message appears, click once to create a point. If in free space, a cursor message does not appear.

Note: You do not have to select the

Intersection Point(s)

tools to create a point on an object

Point on Object

or at an intersection.

Create points in free space.

Create points on objects

Create points at intersections.

Point at this intersection

Modifying a point

Move a point by dragging it to a new location.

You can change the appearance of points using:

4 the

You can construct a point as a

Refer to the chapters “Using the Menus” and “Using the Draw Toolbox” for these features.

4-2 Chapter 4: Using the Points Toolbox

Defaults

option under the

(Macintosh only).

Attributes Modify Appearance

toolbar under the

option in the

, •,

, ×, or ™.

•

Options

Draw

Point types toolbar.

menu.

toolbox.

Copying permitted provided TI copyright notice is included

Point on Object

The

Creating a point on an object

tool creates points on any object.

1. Select

Point on Object

from the

Points

toolbox.

2. Move the cursor toward the object until a cursor

message appears for that object, and then click once.

Modifying a point on an object

Move a point by dragging it to a new location. The point always remains on the object.

Point.

On this polygon

Click.

Chapter 4: Using the Points Toolbox 4-3

Intersection Point(s)

The

An intersection can be defined for only two objects. If more than two objects intersect at the same place (for example, the perpendicular bisectors of a triangle), an ambiguity message appears. If this happens, hold down the mouse button and select the correct object from the list.

If you change the objects so that they no longer intersect, the intersection point(s) disappears, but reappears if the objects intersect again.

Creating an intersection point

tool creates a point at the intersection (or intersections) of any two objects.

1. Select

Intersection Point(s)

from the

Points

toolbox.

2. Select two intersecting objects.

Select the first object. Select the second object.

Modifying an intersection point

Intersection points are dependent and cannot be moved.

Example

Intersection of a line and a polygon:

Points are created

at each intersection.

Select polygon and line. Points are created at each

This line

4-4 Chapter 4: Using the Points Toolbox

intersection.

Copying permitted provided TI copyright notice is included

Chapter 5: Using the Lines Toolbox

Lines

The features allow you to construct linear objects and polygons.

The illustration below shows the location of the along with its pull-down menu. Procedures for using tools in the are presented in this chapter in the order in which the tools appear on the pull-down menu.

Defined objects in Cabri Geometry II, such as triangles and polygons, can be translated, rotated, or dilated. Refer to the chapters “Using the Pointer Toolbox” and “Using the Transform Toolbox” for more information about these methods.

toolbox contains the tools associated with line features in Cabri Geometry II. These

Lines toolbox

Lines

toolbox on the Cabri Geometry II toolbar,

Lines

toolbox, including examples,

Line

Segment

Ray

Vector

Triangle

Polygon

Regular Polygon

Chapter 5: Using the Lines Toolbox 5-1

Line

The slope. The slope can be specified in free space or defined by a second point.

tool creates a line that extends infinitely in both directions through a point at a specified

Note: You can constrain the slope to 15-degree increments by pressing the creating or modifying a line.

Creating a line

1. Select

Line

from the

2. Click to create or select the initial point of the line.

3. Specify the slope by positioning the line in the

desired orientation and clicking.

When specifying slope, you can create a point on an object, select an existing point, or click in unoccupied space.

Lines

toolbox.

Create a point.

Specify the slope.

Modifying a line

Translate a line without changing the slope by selecting

Pointer

the

Pointer

tool from the

Pointer

toolbox. Then using the

SHIFT

key when

4 For a line constructed with a

single point

, drag

the point.

4 For a line constructed with two

basic

points, grab

the line away from the points, and drag.

Note: A line constructed with at least one

dependent

point (a point attached to another object) cannot be moved using the

Pointer

without changing the slope.

5-2 Chapter 5: Using the Lines Toolbox

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Change the slope of a line by selecting the

Pointer

Then using the

Pointer

4 To change a line constructed with a single point,

grab the line away from the point and drag. Press the

key to constrain the slope to 15-degree

SHIFT

increments.

4 To change a line constructed with two basic

points, drag either of the points.

4 Changing a line constructed with a dependent

point is relative to the object to which it is attached. You may drag the object or the point, depending on the construction.

Example

Create a point. Create a point.

tool.

The line is attached to a side of the

triangle and the opposite vertex.

Chapter 5: Using the Lines Toolbox 5-3

The

Segment

tool creates a segment between two endpoints.

Note: You can limit the slope of the segment to 15-degree increments by pressing the when creating the segment.

Creating a segment

1. Select

Segment

from the

2. Click to create or select the initial endpoint of the

segment.

3. Move the pointer to the location for the final

endpoint of the segment, and click to create or select the final endpoint.

Example

Select the initial point. Point to the object. Create the final point.

Lines

toolbox.

Create the initial point.

Create the final point.

This polygon

SHIFT

key

This point

Note: See “

Regular Polygon”

in this chapter for more information on creating the regular pentagon

in the above figures.

Modifying a segment

Change a segment by dragging either endpoint.

Translate a segment by grabbing away from the endpoints, and dragging it.

5-4 Chapter 5: Using the Lines Toolbox

Copying permitted provided TI copyright notice is included

Ray

The direction.

tool creates a ray defined by an initial endpoint and extending infinitely in a specified

Note: You can constrain the slope to 15-degree increments by pressing the creating or modifying a ray.

Creating a ray

1. Select

Ray

from the

2. Click to create or select the initial endpoint of the

ray.

3. Position the ray in the desired orientation, and click

to specify direction and slope.

If the ray is created in free space, a point is not created. If the ray is not in free space, it is attached to a second point.

Lines

toolbox.

Create a point.

Click to specify the slope.

Modifying a ray

Translate a ray without changing its direction and slope

Pointer

by selecting the Then using the

Pointer

tool from the

4 For a ray constructed with a

the point.

Pointer

toolbox.

single point

, drag

SHIFT

key when

4 For a ray constructed with two

basic

points, grab

the ray away from the points and drag.

Change the direction and slope of a ray using the tool:

4 To change a ray constructed with a

single point

grab the ray away from the point and drag. Press the

key to constrain the slope to 15-degree

SHIFT

increments.

4 To change a ray constructed with two

basic

points, drag either of the points.

4 Changing a ray constructed with a

dependent

point is relative to the object to which it is attached. You may drag the object or the point, depending on the construction.

Pointer

Chapter 5: Using the Lines Toolbox 5-5

Vector

The and head (final endpoint).

Creating a vector

tool creates a vector defined by magnitude and direction with a tail (initial endpoint)

1. Select

Vector

from the

Lines

toolbox.

2. Click to create or select the tail of the vector.

3. Move the pointer to the location for the head, and

click to create or select the head of the vector.

Modifying a vector

Change a vector by dragging either endpoint.

Translate a vector constructed with two basic points by grabbing the segment away from the endpoints, and dragging it to a new location.

Create the tail.

Create the head.

5-6 Chapter 5: Using the Lines Toolbox

Copying permitted provided TI copyright notice is included

Triangle

The can be moved along the entire perimeter of the triangle.

Creating a triangle

tool creates a triangle defined by three points (vertices). A point placed on a triangle

1. Select

Triangle

from the

Lines

toolbox.

2. Click to create or select the initial vertex.

3. Move the cursor from the initial vertex, and then

click to create the second vertex. Repeat to create or select the final vertex.

Modifying a triangle

Move a triangle as an object by dragging one of its sides.

Change a triangle by dragging any of its vertices.

Note: Vertices dependent on other objects may restrict movement or modification of the triangle.

Create the first vertex.

Create the second vertex.

Create the final vertex.

Chapter 5: Using the Lines Toolbox 5-7

Polygon

The placed on a polygon can be moved along the entire perimeter of the polygon.

Creating a polygon

tool constructs an n-sided polygon of any shape defined by n points (vertices). A point

1. Select

Polygon

from the

Lines

toolbox.

2. Click to create or select the initial vertex.

3. Move the cursor from the initial vertex, and then

click to create or select the other vertices. To terminate polygon construction, double click or select the initial vertex.

Modifying a polygon

Move a polygon as an object by dragging one of its sides.

Change a polygon by dragging any of its vertices.

Create the initial vertex.

Create additional vertices.

Select the original point.

This point

Polygon is complete.

This polygon

5-8 Chapter 5: Using the Lines Toolbox

Copying permitted provided TI copyright notice is included

Regular Polygon

The sides (30 or less). A regular polygon consists of congruent sides and congruent angles. A point placed on a regular polygon can be moved along the entire perimeter of the polygon.

Creating a regular polygon

tool constructs a regular convex or star polygon defined by a center point and n

1. Select

Regular Polygon

from the

Lines

toolbox.

2. Click to create or select the center point.

3. Move the cursor from the center point, and click to

specify the radius of a regular polygon.

The number of sides is displayed at the center point.

4. To create a regular convex polygon, move the cursor

clockwise from its current position.

To create a regular star polygon, move the cursor counterclockwise, and click when the regular polygon is the desired size.

Create the center point.

Specify the size.

Rotate clockwise.

Note: If you move beyond 30 sides or 180 degrees from the initial vertex and the center point, a convex polygon becomes a star polygon. A fraction is displayed at the center point. The numerator determines the number of sides; the denominator, the number of times the star has crossed. The maximum star is 30/13; the minimum is 5/2.

Pentagon.

Chapter 5: Using the Lines Toolbox 5-9

Regular Polygon

(Continued)

Modifying a regular polygon

Move a regular polygon as an object by dragging one of its sides.

Change a polygon by dragging any of its vertices.

Dragging the center point changes the size of the regular polygon since the original vertex is anchored (location dependent).

Example

. Create the center point.

. Rotate counter-clockwise.

. Specify the size.

. 7/3 star polygon.

5-10 Chapter 5: Using the Lines Toolbox

Copying permitted provided TI copyright notice is included

Chapter 6: Using the Curves Toolbox

Curves

The features allow you to create curved objects, including ellipses, parabolas, and hyperbolas.

toolbox contains the tools associated with curve features in Cabri Geometry II. These

Curves toolbox

Curves

toolbox on the Cabri Geometry II toolbar,

Curves

toolbox, including

Circle

Arc

Conic

Chapter 6: Using the Curves Toolbox 6-1

Circle

The space, at an existing point, or on an object.

tool creates a circle defined by a center point and a radius that can be specified in free

Note: You can constrain the radius to integer values by pressing the modifying the radius.

Creating a circle

1. Select

Circle

from the

2. Create or select the center point of the circle.

3. Move the cursor from the center point, and click once

to set the radius.

If you click in free space, a point is not created. You can also create or select a point.

Curves

toolbox.

Modifying a circle

To translate a circle without changing its radius, the circle must be constructed with a single point. Drag the point to translate the circle.

To change the radius of a circle:

4 If the circle was created with a

the circle anywhere on its circumference and drag.

single point

, grab

key while defining or

SHIFT

Create the center point.

Specify the radius.

4 If the circle was created with a

either point on the circle and drag.

basic

point, grab

6-2 Chapter 6: Using the Curves Toolbox

Copying permitted provided TI copyright notice is included

Arc

The point.

Note: By definition, an arc created on a circle has a radius equivalent to that of the circle.

Creating an arc

tool creates an arc defined by three points—two endpoints and a radius (or curvature)

1. Select

Arc

from the

Curves

toolbox.

2. Create or select the initial endpoint of the arc.

3. Move the cursor from the initial endpoint, and click to

create or select the curvature point.

4. Move the cursor from the curvature point, and click to

create or select the final endpoint.

Modifying an arc

Change an arc by dragging any of its three points.

If an arc is defined by basic points, grab the arc away from the points, and drag it to a new location.

Create the initial point.

Create the second point.

Create the final point.

Example

Construct a circle. Construct an arc on the circle.

Chapter 6: Using the Curves Toolbox 6-3

Conic

The assume a new definition, depending on its location on the conic.

Creating a conic

tool creates a parabola, hyperbola, or ellipse defined by five points. Each point can

1. Select

Conic

from the

Curves

toolbox.

2. Click to create or select the five points.

Note: After placement of three points, the conic is drawn to aid you in placing the remaining points.

Modifying a conic

Move a conic by grabbing it away from its defining points, and dragging it to a new location. If any of the points are dependent, the conic also changes.

Modify the conic by dragging any of its five points.

Create three points.

Shape with the fourth point.

Complete with the fifth point.

This ellipse

Drag any point to reshape.

This hyperbola

Note: Depending on the placement of the points, the conic will be an ellipse, a hyperbola, or a parabola.

Examples

Conics in the coordinate plane:

This ellipse

6-4 Chapter 6: Using the Curves Toolbox

This hyperbola

This parabola

Copying permitted provided TI copyright notice is included

Chapter 7: Using the Construct Toolbox

Construct

The II. These features allow you to construct objects in relation to other objects.

toolbox contains the tools associated with construction features in Cabri Geometry

The illustration below shows the location of the

Construct

toolbar, along with its pull-down menu. Procedures for using

toolbox on the Cabri Geometry II

Construct

tools, including examples,

are presented in this chapter in the order in which the tools appear on the pull-down menu.

Construct toolbox

Perpendicular Line

Parallel Line

Midpoint

Perpendicular Bisector

Angle Bisector

Vector Sum

Compass

Measurement Transfer

Locus

Redefine Point

Chapter 7: Using the Construct Toolbox 7-1

Perpendicular Line

The linear object (line, segment, ray, vector, or side of a polygon).

Creating a perpendicular line

tool creates a line passing through a point and perpendicular to a selected

1. Select

Perpendicular Line

from the

Construct

toolbox.

2. Point to the line, segment, ray, vector, or side of a

polygon that will be perpendicular to the constructed line, and click to select.

3. Click to create or select the point through which

the perpendicular line will pass.

Note: The order of steps 2 and 3 may be reversed.

Select a linear object.

Perpendicular to this side of the triangle

Select a point.

By this point

A dependent line is created.

Modifying a perpendicular line

Move a perpendicular line by dragging the point through which it passes.

The line cannot be altered directly because it is, by definition, a dependent object.

Example

Select a linear object. Create a point, and the

perpendicular line is constructed.

Perpendicular to this direction

7-2 Chapter 7: Using the Construct Toolbox

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Parallel Line

The object (line, segment, ray, vector, or side of a polygon).

Creating a parallel line

tool creates a line that passes through a point and is parallel to a selected linear

1. Select

Parallel Line

from the

Construct

toolbox.

2. Point to the line, segment, ray, vector, or side of a

polygon that will be parallel to the constructed line and click to select.

3. Designate the point through which the parallel line

will pass.

Note: The order of steps 2 and 3 may be reversed.

Select a linear object.

Parallel to this side of the triangle

Select a point.

By this point

A dependent line is created.

Modifying a parallel line

Move a parallel line by dragging the point through which it passes.

The line cannot be altered directly because it is, by definition, a dependent object.

Example

Create a point, and the

Select a linear object.

Parallel to this side of the polygon

parallel line is constructed.

Chapter 7: Using the Construct Toolbox 7-3

Midpoint

The between two points.

Creating a midpoint

tool creates a point at the midpoint of a segment or vector, the side of a polygon, or

1. Select

2. Point to one of the following and click to select:

Two points (create or select). A segment. The side of a polygon.

Midpoint

from the

Construct

toolbox.

Modifying a midpoint

Modify a midpoint by modifying its defining objects.

7-4 Chapter 7: Using the Construct Toolbox

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Perpendicular Bisector

The polygon, or between two points, and passes through the midpoint of the selected object.

Creating a perpendicular bisector

tool creates a line that is perpendicular to a segment, a vector, a side of a

1. Select

2. Point to one of the following and click to select:

Perpendicular Bisector

toolbox.

A segment or a vector. The side of a polygon. Two points (create or select).

from the

Construct

Modifying a perpendicular bisector

A perpendicular bisector cannot be translated directly unless it is constructed between two Modifying the defining object causes the perpendicular bisector to change accordingly.

basic

points.

Chapter 7: Using the Construct Toolbox 7-5

Angle Bisector

The point defines the vertex of the angle through which the line passes.

Creating an angle bisector

tool creates a line that bisects an angle identified by three points. The second

1. Select

Angle Bisector

from the

Construct

toolbox.

2. Click to create or select three points that define the

angle to be bisected. (The second point selected is the vertex of the angle.)

Modifying an angle bisector

Select points A, B, and C.

Select points, B, C, and A.

An angle bisector cannot be translated directly unless it is defined by three independent points. Modifying the points that define the angle causes the angle bisector to change accordingly.

7-6 Chapter 7: Using the Construct Toolbox

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Vector Sum

The vectors do not have to share a common endpoint (tail) and may also be previously defined vector sums.

Creating a vector sum

tool creates a resultant vector that is the sum of two selected vectors. The selected

1. Select

Vector Sum

from the

Construct

toolbox.

2. Point and click to select any two vectors.

3. Click to create or select the initial point for the

resultant vector.

Modifying a vector sum

A vector sum cannot be modified directly. Modifying either one of the selected vectors causes the vector sum to change accordingly.

Select the first vector.

This vector

Select the second vector.

This vector

Select a tail point for the vector sum.

Chapter 7: Using the Construct Toolbox 7-7

Compass

The distance between two points.

Creating a circle using Compass

tool creates a circle with a radius equal to the length of an existing segment or the

1. Select

Compass

from the

Construct

toolbox.

2. Create or select two points or select a segment to

define the radius of the circle.

3. Create or select the center point of the circle.

Modifying a circle created using Compass

Modify the radius by dragging one of the defining endpoints.

Translate the compass circle by dragging the center point.

Select a segment.

This segment

Select a center point.

7-8 Chapter 7: Using the Construct Toolbox

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Measurement Transfer

The polygon, or from another point at a distance proportional to a selected measurement or numerical value. From a point on a circle, the point created is at an equivalent arc length. The direction of the distance or arc length depends on the sign of the selected numerical value.

The magnitude of the measurement transferred is represented without regard to units.

Creating a measurement transfer

tool creates a point on a ray, on a vector, from the initial point of a

1. Select

Measurement Transfer

from the

Construct

toolbox.

2. Point to any measurement or numerical value and

click to select.

3. To construct:

4 a point at a proportional linear distance, select a

ray, vector, polygon, or point. If you select a point, a dotted line appears. Position the dotted line as you want it, and click to set the position.

4 a point at a proportional arc length away, select

a circle, and then select (do not create) a point on the circle.

Select a

numerical value.

Select

a circle.

The point created is an equivalent

distance from the endpoint of the ray.

Select an existing

point on the circle.

Select a numerical value.

This number

Select a ray.

This ray

The point created is an

equivalent arc length from the

existing point.

This number

This circle

This point

Chapter 7: Using the Construct Toolbox 7-9

Measurement Transfer

(Continued)

Example

Select a

numerical value.

This number

Select a point.

Modifying a measurement transfer

Modify the constructed point by changing the measurement or numerical value. The point cannot be translated directly.

Position the point and click. The

points are 2.5 cm apart.

7-10 Chapter 7: Using the Construct Toolbox

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Locus

The select a point on a path (object), the locus is completely constructed and is considered a defined object. As such, points can be attached. When you modify an object that defines a locus, the locus is recalculated and continuously displayed to show the effects of the modifications.

With defaults set, a locus is constructed with 30 (Macintosh) or 50 (Windows, DOS) objects equally spaced along the designated path. You can change this setting using Choices for connecting locus points and constructing the envelope of a line are also available under

Preferences

alternate method for changing the number of objects that define the locus, you can select the locus and then press + or - to increase or decrease the number of objects that define the displayed locus.

Creating a locus

tool creates a set of objects defined by the movement of a point along a path. When you

Preferences

in the

Options

menu.

. See “Options Menu” in the chapter “Using the Menus” for more information. As an

1. Select

Locus

from the

Construct

toolbox.

2. Select the object for the locus.

3. Select a point that lies on a path.

Note: A path is any defined object on which a point can be placed.

Preconstructed objects.

Select the object.

This circle

Select a point on a path.

This point

As its center travels around the first circle, the locus of a

second circle through a point on a circle is constructed.

Chapter 7: Using the Construct Toolbox 7-11

Locus

(Continued)

Modifying a locus

Modify a locus by changing its defining objects.

Example

Construct an

ellipse (conic).

Attach a segment to a

new point on the ellipse.

Take the locus of the segment as one

of its endpoints travels around the

ellipse.

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Redefine Point

The

(Macintosh and DOS only)

tool modifies the current definition of any point, as long as the new definition

does not create a circular reference.

A circular reference occurs when a point that defines an object is redefined to be on that object. An example is defining the center point of a circle to be a point on the circle. This is not allowed.

Redefining a point

1. Select

Redefine Point

from the

Construct

toolbox.

2. Press and hold the mouse down on any point.

A dialogue box appears with the following options:

Point

– redefines the point as a basic point at the

same location.

Point on Object

– redefines the point to be on an

object.

Intersection Point(s)

– redefines the point to be at

the intersection of two objects.

Transfer to another point

– transfers the point to

another existing point.

3. Select the desired option. If you selected

Point

is not necessary.

4. Click to select an object compatible with the

selected option and to assign its new definition.

Attach an existing segment to a circle.

Select the endpoint.

Click to create a point on a circle.

, step 4

On this circle

The segment is attached to the circle.

Chapter 7: Using the Construct Toolbox 7-13

Redefine Object

The

(Windows only)

tool modifies the current definition of any object. You can redefine a circle, arc,

conic, triangle, segment, ray, vector, polygon, or regular polygon.

Redefining an object

1. Select

Redefine Object

from the

Construct

toolbox.

2a. If the object is a point, hold the mouse on the point,

and then select the new definition.

Point

– redefines the point as a basic point.

Point on Object

– redefines the point to be on an

object.

Intersection Point(s)

– redefines the point to be at

the intersection of two objects.

Transfer to another object

– transfers and merges the

point to another existing point.

2b. If the object is an object, hold the mouse on the

object, and then select the new definition.

Circle, Triangle, Segment, etc.

– lets you construct a new object of the same type and automatically transfer the original object to it.

Transfer to another object

– transfers and merges the object to another existing object of the same type.

A pop-up menu appears with

the following options:

A pop-up menu appears with

the following options:

2c. If the object is a line, hold the mouse on the line, and

then select the new definition.

Line

– lets you construct a new line and

automatically transfer the original line to it.

Perpendicular

– redefines the line to be

perpendicular to another object.

Parallel Line

– redefines the line to be parallel to

another object.

Perpendicular Bisector

– redefines the line to be the

perpendicular bisector of another object.

Angle Bisector

– redefines the line to bisect an

angle determined by three points.

Transfer to another object

– transfers and merges the line to another existing line.

3. Click to select an object compatible with the selected option and to assign its new definition.

A pop-up menu appears with

the following options:

7-14 Chapter 7: Using the Construct Toolbox

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Chapter 8: Using the Transform Toolbox

Transform

The features. These features allow you to translate, reflect, rotate, and dilate objects according to specified factors and angular values.

toolbox contains the tools associated with Cabri Geometry II transformation

The illustration below shows the location of the

Transform

toolbar, along with its pull-down menu. Procedures for using

toolbox on the Cabri Geometry II

Transform

tools, including examples,

are presented in this chapter in the order in which the tools appear on the pull-down menu.

Transform toolbox

Reflection

Symmetry

Translation

Rotation

Dilation

Inverse

Chapter 8: Using the Transform Toolbox 8-1

Reflection

The vector, axis, or side of a polygon.

Creating a reflection

tool creates the mirror image of an object reflected across a line, segment, ray,

1. Select

Reflection

from the

Transform

toolbox.

2. Select the object to reflect.

3. Select the line, segment, ray, vector, axis, or side of a polygon to reflect the object across.

Select the object to reflect.

Reflect this polygon

Select the linear object.

with respect to this line

The reflected object is created.

Modifying a reflection

Change the reflected image by changing the original object or by modifying the line of reflection. Because it is a dependent object, you cannot change the reflected image directly.

8-2 Chapter 8: Using the Transform Toolbox

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Symmetry

The

Creating a symmetrical image

tool reflects the image of an object 180-degree with respect to a point.

1. Select

Symmetry

from the

Transform

toolbox.

2. Select the object to reflect 180 degrees.

3. Select the point of symmetry.

Select the object to reflect

Reflect this polygon

Select a point.

with respect to this object

The symmetric image is created.

Modifying a symmetrical image

Change a symmetrical image by changing the original object or by moving the point of symmetry. Because it is a dependent object, you cannot change a symmetrical image directly.

Chapter 8: Using the Transform Toolbox 8-3

Translation

The vector.

Translating an object

tool creates the image of an object translated by a specified, previously defined

1. Select

Translation

from the

Transform

toolbox.

2. Select the object to translate.

3. Select the vector that defines the translation direction and distance.

Select the object to translate.

Translate this polygon

Select the translation vector.

by this vector

The translated image is created.

Modifying a translation

Move a translated image by dragging the vector head or tail to a new location. The translated image changes according to the changes of the vector or changes to the original object. Because it is a dependent object, you cannot change the translated image directly.

8-4 Chapter 8: Using the Transform Toolbox

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Rotation

The

Note: The angular value may be any measurement or numerical value, regardless of units. The units are presumed to be degrees by the software. A positive angular value rotation is performed in a counter-clockwise direction.

tool rotates an object by a specified angular value with respect to a point.

To create specific angles of rotation, please refer to “ Display Toolbox.”

Rotating an object

1. Select

Rotation

from the

2. Select the object to rotate.

3. Select the point of rotation.

4. Select the angular value of rotation.

Transform

toolbox.

Numerical Edit”

in the chapter “Using the

Select the angular value of rotation.

Select the object to rotate.

Rotate this polygon

Select the rotation point.

around this point

using this angle

Modifying a rotation

Change the rotated image by either modifying the figure that defines the angle of rotation, editing the value created by

Numerical Edit

changing the original object. Because it is a dependent object, you cannot change the rotated image directly.

, moving the rotation point, or

The rotated image is created.

Chapter 8: Using the Transform Toolbox 8-5

Dilation

The

Note: This factor may be any measurement or numerical value, regardless of units. The value is presumed to be unit-less.

tool dilates an object by a specified factor with respect to a specified point.

To create specific factors of dilation, please refer to “ Display Toolbox.”

Dilating an object

1. Select

Dilation

from the

2. Select the object to dilate.

3. Select the point of dilation.

4. Select the factor of dilation.

Transform

toolbox.

Numerical Edit”

in the chapter “Using the

Select the object to dilate.

Dilate this polygon

Select the dilation point.

with respect to this point

Select the dilation factor.

using this factor

Modifying a dilation

Change the dilated image by either modifying the figure that defines the factor, editing the value created by

Numerical Edit

original object. Because it is a dependent object, you cannot change the dilated image directly.

8-6 Chapter 8: Using the Transform Toolbox

, moving the dilation point, or changing the

The dilated image is created.

Copying permitted provided TI copyright notice is included

Inverse

The equation

where:

As the selected point approaches the center point, the inverse point approaches a point at infinity.

If passes through the center of the circle.

If the original point lies in the interior of the circle, the inverse point is constructed in the exterior, and vice versa. The inverse point lies on a ray with the center point as the endpoint.

Creating an inverse point

tool constructs an inverse point with respect to a circle and a point, according to the

OM ¦ O M' = r

and

= center of circle.

= selected point.

= inverse point.

= radius of selected circle.

are points that lie

on a ray with endpoint

is defined to be on a line passing through the circle, the locus of M' constructs a circle that

1. Select

Inverse

from the

Transform

toolbox.

2. Create or select a point as the original point.

3. Select a circle.

Select a point.

This point

Select a circle.

This circle

An inverse point is created.

Modifying an inverse point

Move an inverse point by dragging the point or modifying the circle that defines it. You cannot manipulate an inverse point directly because it is a dependent point.

Chapter 8: Using the Transform Toolbox 8-7

Chapter 9: Using the Macro Toolbox

Macro

The macro is a sequence of interdependent constructions. Macros are useful for creating new tools that construct unique objects or perform repetitive tasks.

The illustration below shows the location of the along with its pull-down menu. Procedures for creating macros, including rules and examples, are presented in this chapter in the order in which macros must be created.

toolbox contains the tools associated with constructing macros in Cabri Geometry II. A

Macro

toolbox on the Cabri Geometry II toolbar,

Macro toolbox

Initial Object

Final Object

Define Macro

Chapter 9: Using the Macro Toolbox 9-1

How to create a macro

A macro constructs “final” objects based on “initial” objects. Intermediate objects are not constructed. This feature allows easy construction of complex figures and is the primary method for constructing fractals. You can save macros on disk for later use. Macros are automatically saved with any file in which they are used.

To create a macro:

1. Select the initial objects required to define the final object(s).

2. Select the final object(s), and then, if necessary, change the attributes of the object(s) as they will appear in the final construction.

3. Define the macro for inclusion in the

Read the following rules, and then refer to the step-by-step procedures that follow them.

Rules for creating macros

4 Initial objects must allow the construction of all final objects. Final objects must be

determined by the initial objects. A macro must respect the logical structure of the figure as it was constructed.

4 An object cannot exist without the points that define it. For example, a triangle cannot exist

without its vertices. Therefore, when you select an object as an initial object, the macro is able to refer to the points that define the object.

Macro

toolbox. The macro is then available for use.

4 When you select

attributes. You can change these attributes during an intermediate step before you select

Macro

. In this way, you can hide objects (using

Define Macro

, a macro generates its final objects with the object’s existing

Hide/Show

in the

Display

toolbox) that were

Define

selected as initial objects.

4 Because macros are intended as general purpose construction tools, like those in the

Construct

toolbox, comments and labels cannot be defined as final objects. You can select measurements and numerical values as final objects, but any text attached will not be duplicated when the macro executes.

4 The location of an arbitrary point on an object is determined by a random-number generation.

Therefore, the position of the point will be uncertain if it is selected as a final object.

4 If the initial objects are different types (for example, lines and circles are different types), they

are not used in any order. If the initial objects are the same type, the macro uses them in the order in which they were selected as initial objects.

4 The number of objects created by a macro is limited only by available system memory.

4 Macros are automatically saved with any construction in which they are used. You can also

save macros in a tool configuration file (see

Options Menu

in the chapter "Using the Menus").

4 The first final object you select is considered the primary object of the macro. If a name is

entered in the the vicinity of the primary object. For the Macintosh, the under the

first final object

Name for first final object

option in the

Macro

field, it will be the cursor message when the cursor is in

dialog box. For the Windows and DOS versions, the

field is already visible in the dialog box.

Name for first final object

field is found

Name for

4 To save multiple definitions for a single macro, select the initial and final objects for the new

definition, and save it with the same name. The dialog box generated in to select previous macros when saving a macro. For example, you may want to define a macro that constructs a triangle with vertices at the midpoints of an initial triangle, a polygon with vertices at the midpoints of a three-sided polygon, and a triangle with vertices at the midpoints of a three-sided regular polygon. A single macro can perform all of these operations if each case is identified with appropriate initial and final objects and saved to the same macro file.

9-2 Chapter 9: Using the Macro Toolbox

Define Macro

Copying permitted provided TI copyright notice is included

allows you

Initial Object

The macro. See “Rules for creating macros” for more information.

Specifying initial object(s)

tool specifies the initial object(s) needed to define the given conditions for a

1. Select

Initial Object

from the

Macro

toolbox.

2. Click once to select an object.

The selected object displays in marquee outline.

3. (Optional) Click again on the object to deselect it.

The object returns to its original outline.

Select initial objects.

This triangle

Selected objects.

Chapter 9: Using the Macro Toolbox 9-3

Final Object

The macro. See “Rules for creating macros” for more information.

Specifying final object(s)

tool specifies the final object(s) that will result from the initial objects defined for a

1. Select

Final Object

from the

Macro

toolbox.

2. Click once to select an object.

The selected object displays in marquee outline.

3. (Optional) Click again on the object to deselect it.

The object returns to its original outline.

Select final objects.

This circle

Select objects.

9-4 Chapter 9: Using the Macro Toolbox

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Define Macro

The

tool stores a macro in memory. A dialog box appears for you to name the macro. This dialog box is described below. Also see “Rules for creating macros” at the beginning of this chapter.

The Define Macro dialog box

Define Macro

The

dialog box appears (Macintosh version illustrated) when you select

after defining valid initial and final objects. Each field is defined below.

Note: The

Define Macro

dialog box for the Windows and DOS versions is slightly different from the Macintosh version. The first screen is displayed only in the Macintosh version. In the next screen, the

Icon font

option is different in the Windows and DOS versions.

Macintosh only Macintosh, Windows, DOS

Define Macro

Name of the construction

Icon font:

(Macintosh only)

Cancel

More/Less:

(Macintosh only)

Name for first final object

Help for this macro

Enter a name for your construction or select a previously named macro. To access a previously named macro, point to the arrow on the right-hand side of this field and press and hold the mouse button. The name entered here will appear in the

Macro

toolbox when you select OK or

OK and save

The first letter of the construction name entered above appears in this field. This letter will be used for the icon of the macro in the toolbar. You may select the font of this letter from Roman, Old English, or Fraktur.

Click on this button to cancel or disregard the macro definition. Initial and final objects will be deselected.

This button is a toggle. Click on it to show

Less

options.

Enter the name that you want to appear as a cursor message when the cursor is in the vicinity of the first object created by the macro.

Enter the message that you want to appear in the help window when the macro is selected.

Chapter 9: Using the Macro Toolbox 9-5

Define Macro

(Continued)

Save to file

This button is a toggle. Click on it to change the OK to versa.

OK / OK and save

Click on OK to save the macro for use in your construction. The macro is not saved to a separate file but is saved with your construction. Once saved, the macro can be used in future Cabri Geometry II sessions.

Click on

OK and save

to generate a save file dialog that allows you to save the macro to a file you specify. Macros saved to individual files can be recalled in future constructions by using macro file.

Specifying a macro

1. Select

Define Macro

from the

2. Enter the requested information into the dialog box to save your macro.

If you receive a warning message instead of the dialog box, a problem exists in the definition of initial and final objects. Review “Rules for creating macros” at the beginning of this chapter, and redefine your initial and final objects.

Macro

toolbox.

Open

OK and save

in the

File

menu to open the

Define Macro dialog box.

Select a new macro.

, and vice

Select an appropriate object.

This triangle

Click to apply the macro.

9-6 Chapter 9: Using the Macro Toolbox

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Chapter 10: Using the Check Property Toolbox

Check Property

The These features allow you to check the validity of geometric properties in general. Results are reported in text, which can be edited with the

toolbox contains the tools associated with Cabri Geometry II property features.

Comments

tool located in the

Display

toolbox.

The illustration below shows the location of the

Check Property

toolbar, along with its pull-down menu. Procedures for using

toolbox on the Cabri Geometry II

Check Property

tools, including examples, are presented in this chapter in the order in which the tools appear on the pull-down menu.

Check Property toolbox

Collinear

Parallel

Perpendicular

Equidistant

Member

Chapter 10: Using the Check Property Toolbox 10-1

Collinear

The line. The results are reported in text.

Checking collinearity

tool evaluates three selected points to determine whether or not they lie on the same

1. Select

Collinear

from the

Check Property

toolbox.

2. Select any three existing points.

A marquee box appears after the last selection.

3. Move the pointer to move this box anywhere in the drawing window, and click to display the result.

If you change the points so that the property changes, the displayed text changes accordingly.

Select three points.

Click to place the marquee box.

Points are not collinear

The result changes with the construction.

Points are collinear

10-2 Chapter 10: Using the Check Property Toolbox

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Parallel

The sides of a polygon to determine whether or not they are parallel. The results are reported in text.

Check parallelism

tool evaluates any combination of two selected lines, segments, rays, vectors, axes, or

1. Select

Parallel

from the

Check Property

toolbox.

2. Select any combination of two lines, segments, rays, vectors, axes, or sides of a polygon.

A marquee box appears after the last selection.

3. Move the pointer to move this box anywhere in the drawing window, and click to display the result.

If you change the objects so that the property changes, the displayed text changes accordingly.

Select two linear objects.

Click to place the marquee box.

Objects are not parallel

The result changes with the construction.

Objects are parallel

Chapter 10: Using the Check Property Toolbox 10-3

Perpendicular

The axes, or sides of a polygon to determine whether or not they are perpendicular. The results are reported in text.

Checking perpendicularity

tool evaluates any combination of two selected lines, segments, rays, vectors,

1. Select

Perpendicular

from the

Check Property

toolbox.

2. Select any combination of two lines, segments, rays, vectors, axes, or sides of a polygon.

A marquee box appears after the last selection.

3. Move the pointer to move this box anywhere in the drawing window, and click to display the result.

If you change the objects so that the property changes, the displayed text changes accordingly.

Select two linear objects.

Click to place the marquee box.

Objects are not perpendicular

The result changes with the construction.

10-4 Chapter 10: Using the Check Property Toolbox

Objects are perpendicular

Copying permitted provided TI copyright notice is included

Equidistant

The equidistant from the two remaining points. (If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.) The results are reported in text.

Checking equidistant property

tool evaluates any three points to determine whether or not the first point is

1. Select

Equidistant

from the

Check Property

toolbox.

2. Select any three points. (The first point selected is checked relative to the two remaining points.)

A marquee box appears after the last selection.

3. Move the pointer to move this box anywhere in the drawing window, and click to display the result.

The text states whether or not the first point selected is equidistant from the second and third points.

If you change the objects so that the property changes, the displayed text changes accordingly.

Select, in order, points A, B, and C.

Click to place marquee box.

Points are not equidistant

The result changes with the construction.

Points are equidistant

Chapter 10: Using the Check Property Toolbox 10-5

Member

The reported in text.

Checking membership

tool evaluates a point to determine whether or not it lies on an object. The results are

1. Select

Member

from the

Check Property

toolbox.

2. Select a point.

3. Select any object.

A marquee box appears after the selection.

4. Move the pointer to move this box anywhere in the drawing window, and click to display the result.

If you change the objects so that the property changes, the displayed text changes accordingly.

Select a point and an object.

Click to place the marquee box.

This point does not lie on the object

The result changes with the construction.

This point lies on the object

10-6 Chapter 10: Using the Check Property Toolbox

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Chapter 11: Using the Measure Toolbox

Measure

The II. These features allow you to perform different measurements and calculations.

toolbox contains the tools associated with measurement features in Cabri Geometry

The illustration below shows the location of the

Measure

along with its pull-down menu. Procedures for using

toolbox on the Cabri Geometry II toolbar,

Measure

tools, including examples, are

presented in this chapter in the order in which the tools appear on the pull-down menu.

Measure toolbox

Distance & Length

Area

Slope

Angle

Equation & Coordinates

Calculate

Tabulate

Chapter 11: Using the Measure Toolbox 11-1

Distance & Length

The radius.

The default measurement is displayed in centimetres. You can change its precision by using

Numerical Edit

in the

colour, and units.

You can add a comment to the measurement immediately after creating it by typing the text. See

Comments”

“

in the chapter “Using the Display Toolbox” for more information on adding a comment

to a numerical value.

Measuring objects

tool calculates and displays distance, length, perimeter, circumference, and

Display

toolbox.

Numerical Edit

also allows you to change the font, size, style,

1. Select

Distance & Length

from the

Measure

toolbox.

2. To measure:

4 length, perimeter, or circumference – select an

object.

4 distance – select two points.

4 radius – select the center point and then the

circumference.

Moving measurements

Reposition the measurement by selecting it with the tool and dragging it to a new position.

The measurement moves with the object it measures unless you pull it away. When you pull it away from the object, the measurement momentarily resists before pulling away.

Select an object.

Length of this segment

The result is displayed.

Pointer

11-2 Chapter 11: Using the Measure Toolbox

Copying permitted provided TI copyright notice is included

Texas instruments CABRI GEOMETRY II Guidebook

Specifications and Main Features

Frequently Asked Questions

User Manual

Important

Permission to Print

TI Product and Services Information

About Cabri Geometry II

About the Developers

Cabri Geometry II Features

Table of Contents

About this Guidebook

Structure

Definitions

Chapter 1: Learning the Basics

First Steps

Checking system requirements

Installing Cabri Geometry II

Installing Cabri Geometry II on a network

Starting Cabri Geometry II

Optimizing your Macintosh system configuration

Changing your Macintosh system configuration using Cabri II

The Cabri Geometry II window

Elements of the Cabri Geometry II window

About menus and toolboxes

Accessing on-line help

Constructing Objects

Pointers that guide you

Handling ambiguities

Determining dependent and independent objects

Dragging

Using the Undo/Redo command

Deleting objects

Changing the Appearance of Objects

Labeling objects

Scrolling the drawing window

Saving and printing

Chapter 2: Using the Menus

File Menu

Save

Open...

Close

Save as...

Revert...

Show Drawing...

Show Page...

Page Setup...

Print...

Printer Setup...

Print...

Quit

Edit Menu

Undo/Redo

Cut/Copy/Paste

Clear

Select all

Replay Construction

Refresh Drawing

Options Menu

Hide/Show Attributes

Defaults...

Preferences...

Tool Configuration...

Languages

Font

Size

Style

Help Menu

Help

About (Cabri II)

Chapter 3: Using the Pointer Toolbox

Pointer

Selecting or moving objects

Rotate

Rotating objects

Dilate

Dilating objects

Rotate and Dilate

Using Rotate and Dilate

Chapter 4: Using the Points Toolbox