Texas instruments TI-83 PLUS GeoMaster Application

TI-83 Plus GeoMaster

ti

Application

Getting Started

Start here

How To…

Draw Objects
Compare Objects
Store Data

Transform Obj ects
Display Information
Move Objects

Examples

Performing Calculations
Displaying Equations and Coordinates
Comparing Objects

More Infor m a t ion

Quick Reference Guide
Customer Support

7/31/01 © 2001 Texas Instruments

Important Information

Texas Instruments makes no warranty, either expressed or
implied, including but not limited to any implied warranties of
merchantability and fitness for a particular purpose, regarding
any programs or book materials and makes such materials
available solely on an "as-is" basis.

In no event shall Texas Instruments be liable to anyone for
special, collateral, incidental, or consequential damages in
connection with or arising out of the purchase or use of these
materials, and the sole and exclusive liability of Texas
Instruments, regardless of the form of action, shall not exceed
any applicable purchase price of this item or material. Moreover,
Texas Instruments shall not be liable for any claim of any kind
whatsoever against the use of these materials by any other
party.

Graphing product applications (Apps) are licensed. See the
terms of the license agreement

for this product.

GeoMaster, TI-GRAPH LINK, and TI-Cares are trademarks of Texas Instruments.
All other trademarks are the property of their respective owners.

TI-83 Plus GeoMaster™ Application Page 2

What is the GeoMaster Application?

The GeoMaster™ application is a Flash software application that
runs on the TI-83 Plus. Using this application, you can draw and
transform objects, working with them interactively. The
GeoMaster application also allows you to graph equations from
the Y= editor and stat plots on the same screen with objects you
draw using GeoMaster tools.

Following are some of the things you can do with the GeoMaster
application:

Draw points, lines, segments, circles, and polygons.

•

Translate, reflect, rotate, and dilate objects.

•

Measure lengths, areas, perimeters, angles, and determine

•

slope.
Display equations of circles and lines and coordinates of

•

points.
Store measured values in TI-83 Plus lists for plotting and

•

analysis.

TI-83 Plus GeoMaster™ Application Page 3

What You Need

To install and run the GeoMaster™ application, you need:

A TI-83 Plus calculator with version 1.13 or later of the

•

operating system software to optimize the performance of your
calculator and the application

of the latest operating system software from

education.ti.com/softwareupdates

TI-GRAPH LINK™ computer-to-calculator cable. If you do not

•

have this cable, call your distributor, or order the cable online
from TI's online store

9-pin to 25-pin cable adapter (required only if you are

•

connecting to a 25-pin serial port on the computer).
TI-GRAPH LINK software that is compatible with the

•

TI-83 Plus. You can download a free copy of this software
from education.ti.com/softwareupdates

.

. You can download a free copy

.

.

Where to Find Installation Instructions

Detailed instructions on installing this and other applications are
available at education.ti.com/guides
installation instructions.

TI-83 Plus GeoMaster™ Application Page 4

. Follow the link to Flash

Getting Started

Tip

After you press

n

, you can press

e

G to move to the first

application name that begins with a G.

Work through this exercise to become familiar with the basic
features of the GeoMaster™ application. In this exercise, you
draw a triangle that is circumscribed by a circle, and then move
the triangle to see what happens to the circle and the
perpendicular bisectors.

Start the GeoMaster application.



1. Press

n

2. Select

to display a list of applications on your calculator.

GeoMastr

. The information screen is displayed.

3. Press any key to continue. The main screen is displayed.

TI-83 Plus GeoMaster™ Application Page 5

Draw a triangle.



1. Select

DRAW

(press

S

) to display the drawing menu

options.

2. Select

¯

, or press 5, the number that corresponds to Triangle).

Triangle

(move the cursor to Triangle, and then press

3. Use the arrow keys to place the cursor where you want the
first point of the triangle to start, and then press

¯

.

4. Use the arrow keys to move the cursor away from the point.
The first segment is drawn.

5. Press

¯

to create the second point and complete the first

segment.

6. Move the cursor away from the second point. The second
segment is drawn.

7. Press

¯

to create the third point and complete the

second segment.

TI-83 Plus GeoMaster™ Application Page 6

8. As you draw the second segment, the last segment of the

Tip

You can press the number (or

e

plus the letter) that
corresponds to the menu item to select it. For example, to select
Perp Bisector, you can press

e

H

.

Note

You must move the cursor to within two pixels of the triangle
segment to draw the perpendicular bisector.

triangle is automatically drawn. To complete the triangle,
move the cursor away from the third point.

Draw perpendicular bisectors of two sides of the triangle.



1. Press

V

to display the menu bar across the bottom of

the screen.

2. Select

DRAW

, and then select

Perp Bisector

.

3. Use the arrow keys to move the cursor to one side of the
triangle, and then press

¯

. The perpendicular bisector of

that segment is drawn.

TI-83 Plus GeoMaster™ Application Page 7

4. Use the arrow keys to move the cursor to another side of the
triangle, and then press

¯

. The perpendicular bisector of

that segment is drawn.

Find the intersection point of the perpendicular bisectors.



1. Press

V

2. Select

DRAW

to display the menu bar.

, and then select

Intersection

.

3. Use the arrow keys to move the cursor to one perpendicular
bisector, and then press

TI-83 Plus GeoMaster™ Application Page 8

¯

.

4. Use the arrow keys to move the cursor to the other
perpendicular bisector, and then press

¯

. The

intersection point is drawn.

Draw a circle that circumscribes the triangle.



-

The center point is the intersection of the perpendicular
bisectors.

-

The circle intersects each vertex of the triangle.

1. Press

2. Select

TI-83 Plus GeoMaster™ Application Page 9

V

DRAW

to display the menu bar.

, and then select

Circle

.

3. Use the arrow keys to move the cursor to the intersection

Note

When more than one object is near the cursor location, a dialog
box displays a list of objects that you can choose. Each object is
named according its object type. A number follows the name,
indicating the order in which that object was created. For
example, Point 11 is the name of the 11thpoint created in this
drawing, which is the intersection point of the perpendicular
bisectors. Move the cursor to the correct object name and press

¯

to select it.

There are 2 objects at this cursor
location. Point 11 is the intersection
point of the perpendicular bisec t ors.

point of the perpendicular bisectors and press

4. Use the arrow keys to move the cursor to one of the vertex
points of the triangle. The circle enlarges as the cursor
moves. Press

¯

at the vertex point to complete the

circle.

¯

.

TI-83 Plus GeoMaster™ Application Page 10

5. Use the arrow keys to move the cursor away from the vertex

Note

Select a vertex point other than the one that you used to create
the circle.

point. The circle is completed.

Move a vertex point on the triangle. Notice how the circle,



triangle, and the perpendicular bisectors are affected.

1. Press

s

to exit the Circle tool.

2. Use the arrow keys to move the cursor to a vertex point on
the triangle, and then press

TI-83 Plus GeoMaster™ Application Page 11

¯

.

3. Because the triangle, point, and circle are very close to each
other, a dialog box displays that lists the objects you can
select. Press

to highlight the point, and then press

h

¯

.

4. Press

¯

again. An x-shaped cursor is displayed, which

indicates that you can move the object you selected.

5. Use the arrow keys to move the point. The circle and the
perpendicular bisectors change with respect to the change in
the shape of the triangle.

TI-83 Plus GeoMaster™ Application Page 12

Save the drawing, clear the screen, and then open the file you

Tip

If other GeoMaster™ files have been saved previously, a dialog
box lists the names of the GeoMaster files, as well as New
Filename. Press

¯

to select New Filename.

Alpha-lock icon

Press

e

to turn the
alpha-lock off so that you
can enter numbers.



created.

1. Press

V

2. Select

FILE

to display the menu bar.

(press

), and then select

R

Filename prompt is displayed. The top right corner displays
the alpha-lock icon.

.

3. Enter a file name, and then press

¯

saved as an application variable (AppVar) with the name you
entered.

4. Press

V

to display the menu bar.

Save File

. The New

. The drawing is

5. Select

TI-83 Plus GeoMaster™ Application Page 13

, and then select

FILE

Clear All

to clear the screen.

6. Press

Tip

If you have other GeoMaster™ files saved on your calculator, all
of the files are displayed in the dialog box. Move the cursor to the
file name, and then press

¯

to open the file.

V

to display the menu bar.

7. Select

, and then select

FILE

Open File

the name of the file you just saved.

8. Press

¯

to open the file.

Quit the application.



1. Press

2. Select

V

FILE

to display the menu bar.

, and then select

Quit

. The

screen is displayed.

3. Select

Quit GeoMastr

.

. A dialog box displays

GeoMaster RUNNING

TI-83 Plus GeoMaster™ Application Page 14

Now that you have completed the Getting Started example, you
can read further to learn more about other GeoMaster™ features.
For example, you can:

Draw different types of objects

•

Display information about objects

•

Transform objects

•

Store and clear data

•

.

.

.

.

TI-83 Plus GeoMaster™ Application Page 15

Starting and Quitting the GeoMaster

Tip

After you press

n

, you can press

e

G to move to the first

application name that begins with a G.

Note

If the GeoMaster™ application is already running, the GeoMaster
RUNNING screen is displayed instead of the information screen.
From this screen, select

Continue

to display the main GeoMaster

screen.

Application

Starting the Application

1. Press

n

to display the list of applications on your

calculator.

2. Select

GeoMastr

. The information screen is displayed.

3. Press any key to display the main screen.

TI-83 Plus GeoMaster™ Application Page 16

Quitting the Application

Note

Pressing

\ 

returns the cursor to the home screen, but

does not quit the application. You can press

V

to return to

the main screen.

1. Select

FILE

(press

V

necessary, and then press R), and then select

GeoMaster RUNNING

2. Select

Quit GeoMastr

screen is displayed.

to display the menu bar, if

.

Quit

. The

TI-83 Plus GeoMaster™ Application Page 17

GeoMaster Settings

Setting

Change

Xmin

/

47

Xmax

47
Ymin/31
Ymax

31
Grid

Turned off
Axes

Turned off
Coordinates

Turned on
Graphing mode

Functional
Plots

Turned off
Equations

Turned off
Horizontal or G-T display

Full

When you run the GeoMaster™ application, several changes are
made to your calculator settings. The following table describes
these changes:

TI-83 Plus GeoMaster™ Application Page 18

You can change these settings at any time, with the following
exceptions:

Polar and sequential graphing modes are not supported.

•

Horizontal and graph-table display modes are not supported.

•

The GeoMaster™ application has its own mode settings screen.
This screen does not contain settings that the application does
not support. You cannot access the calculator's mode settings
screen while the GeoMaster application is running.

When you quit the application, the GeoMaster application turns
coordinates and axes on and turns the grid off. The window
settings remain unchanged, that is, the last changes you made
to the window settings are still in effect. If you have not changed
the window settings, the default GeoMaster window settings are
still in effect: Xmin = /47, Xmax = 47, Ymin = /31, Ymax = 31.

TI-83 Plus GeoMaster™ Application Page 19

Window and Zoom Settings

Largest window

Smallest window

Xmin

d 1

32000
Xmax c32000
Ymin

d 1

32000
Ymax c32000

The following cannot be set at the
same time:

0 > Xmin > 10.01
.01 > Xmax > 0
0 > Ymin > 10.01
.01 > Ymax > 0

ZoomCenter (Xmin = /47, Xmax = 47, Ymin = /31, Ymax = 31) is
selected when you start the GeoMaster™ application. You can
change the window settings; however, the window settings must
be within valid ranges. Otherwise, ZoomCenter is automatically
selected. Valid ranges are:

TI-83 Plus GeoMaster™ Application Page 20

Using GeoMaster Menus

Tip

Menu items are numbered beginning with 1-9 and continuing with A-Z.
After you select the menu, you can press the number (or

e

and

the letter) that corresponds to the menu item to select it.

Press a
graphing key
to select a
menu.

Coordinates
at the
cursor
location

Cursor

R S T U V

R S T U V

Normal functions
of the graphing
keys are
available

Tool currently
selected

Indicates
that no tool
is selected

The GeoMaster™ menu bar is displayed across the bottom of
the screen when you start the application. After you select a
menu, the menu bar is no longer visible, and the normal
functions of the graphing keys are available.

To select a menu, press the graphing key directly below the

•

menu.
To select a menu item, highlight the name, and then press

•

¯

.

To redisplay the GeoMaster menu bar, press

•

TI-83 Plus GeoMaster™ Application Page 21

V

.

Creating, Saving, and Opening Files

Note

•

To select the FILE menu, press R.

•

If the GeoMaster™ menu bar is not displayed, press

V

.

•

Press

s

to exit the menu item that is currently selected.

Note

If the current screen contains objects, the application prompts
you to save them to a file.

Note

If the current screen contains objects, the application prompts
you to save them to a file.

Use the

menu to create, save, open, and append files, as

FILE

well as to clear the screen and exit the application.

Creating a New File

To create a new file, select

New File

from the

Opening an Existing File

1. Select

Open File

from the

menu. A list of file names is

FILE

displayed.

2. Select a file name from the list, and then press
file is displayed.

menu.

FILE

¯

. The

TI-83 Plus GeoMaster™ Application Page 22

Saving a File

Tip

Alpha-lock is turned on when you select New Filename. To turn it
off so that you can enter numbers, press

e

.

Note

If the file you want to append causes the current file to contain
more than 200 objects, an insufficient memory message is
displayed, and the selected file is not appended to the current file.

1. Select

Save File

from the

menu. A list of file names is

FILE

displayed.

2. Select

New Filename

, and then type the name for the new
file.
—or—
Move the cursor to a file name in the list to overwrite an
existing file.

3. Press

¯

. The file is saved.

Appending a File to the Current File

1. Select

Append File

from the

menu. A list of existing files

FILE

is displayed.

2. Select a file from the list. The geometric objects of the
selected file are appended to the current file.

TI-83 Plus GeoMaster™ Application Page 23

Clearing the Screen

Warning

The GeoMaster™ application does not confirm that you want to
delete every object on the screen before performing the task.

Select

Clear All

from the

menu. Every object on the screen is

FILE

deleted.

TI-83 Plus GeoMaster™ Application Page 24

Drawing Objects

Note

•

To select the DRAW menu, press

S

.

•

If the GeoMaster™ menu bar is not displayed, press

V

.

•

Press

s

to exit the menu item that is currently selected.

Use the

DRAW

menu to draw objects such as points, lines,

segments, rays, vectors, circles, arcs, and polygons.

Drawing a Point

Point

1. Select

from the

DRAW

2. Use the arrow keys to move the cursor where you want draw
the point.

3. Press

4. Press

¯

¯

.

again or move the cursor away from the point.

Drawing a Line

menu.

1. Select

Line

from the

DRAW

menu.

2. Use the arrow keys to move the cursor where you want to
create the first point for the line.

TI-83 Plus GeoMaster™ Application Page 25

3. Press

¯

.

4. Use the arrow keys to move the cursor away from the
beginning point and draw the line.

5. Press

¯

, and then move the cursor away from the line.

Drawing a Segment

1. Select

Segment

from the

DRAW

menu.

2. Use the arrow keys to move the cursor to the beginning point
for the segment.

3. Press

¯

.

4. Use the arrow keys to move the cursor to the ending point
for the segment.

5. Press

¯

, and then move the cursor away from the

segment.

TI-83 Plus GeoMaster™ Application Page 26

Drawing a Circle

1. Select

Circle

from the

DRAW

menu.

2. Use the arrow keys to move the cursor to the center point of
the circle.

3. Press

¯

.

4. Press any arrow key to expand the circle.

5. When the circle is the size you want, press

¯

, and then

move the cursor away from the circle.

Drawing a Triangle

1. Select

Triangle

from the

DRAW

menu.

2. Use the arrow keys to move the cursor to the beginning point
of the triangle, and then press

¯

.

3. Move the cursor to draw the first segment of the triangle.

4. Press

TI-83 Plus GeoMaster™ Application Page 27

¯

to place the second point of the triangle.