MCRBG-0607-GC.qxd
4-27-2001
2:49 PM
Page 99
LESSON
6.7
NAME _________________________________________________________ DATE ___________
Technology Activity
For use with pages 372–380
GOAL
To determine several properties about the diagonals of a kite and
their relationship to the area
Activity
1
Construct kite ABCD (see figure). Use the software’s grid feature and
place vertex A at 1, 0, vertex B at 0, 1, vertex C at 2, 0, and
vertex D at 0, 1.
2
Construct the diagonals of the kite, AC and BD.
3
Draw E, the point of intersection of AC and BD.
4
Measure the lengths of AC, BD, AE, EC, BE, and ED.
5
Drag a vertex of kite ABCD and observe the results.
B
A
C
D
Exercises
1. Make a conjecture about the segment lengths of the diagonals.
2. Write an expression for the area of triangle ABC.
Lesson 6.7
3. Write an expression for the area of triangle ADC.
4. Use the results of Exercises 2 and 3 to write an expression for the area of
Lesson 6.4
this kite. Compare your result to Theorem 6.24.
Copyright © McDougal Littell Inc.
All rights reserved.
Geometry
Chapter 6 Resource Book
99
MCRBG-0607-GC.qxd
4-27-2001
2:49 PM
Page 100
LESSON
NAME _________________________________________________________ DATE ____________
6.7
Technology Activity Keystrokes
CONTINUED
For use with pages 372–380
TI-92
1. Construct kite ABCD.
F8
9 (Set Coordinate Axes to RECTANGULAR and Grid to ON.)
F3
4 (Move cursor to 1, 0 and prompt says, “POINT ON. . . .”)
(Move cursor to 0, 1 and prompt says, “POINT ON. . . .”)
cursor to 2, 0 and prompt says, “POINT ON. . . .”)
0, 1 and prompt says, “POINT ON. . . .”)
1, 0.
2
ENTER
2 (Move
ENTER
ENTER
ENTER
2 (Move cursor to
2 (Move cursor to vertex at
ENTER
ENTER
Label the vertices.
4 (Move cursor to vertex at 1, 0.
F7
vertex at 0, 1.
C
ENTER
ENTER
B
ENTER
ENTER
A
(Move cursor to
ENTER
(Move cursor to vertex at 2, 0.
(Move cursor to vertex at 0, 1.
ENTER
D
ENTER
ENTER
Lesson 6.7
Turn off the axes and the grid.
F8
9 (Set Coordinate Axes to OFF and Grid to OFF.)
ENTER
2. Construct the diagonals of the kite, AC and BD.
F2
5 (Move cursor to A.)
to B.)
ENTER
ENTER
(Move cursor to D.)
(Move cursor to C.)
ENTER
(Move cursor
ENTER
3. Draw E, the point of intersection of AC and BD.
F2
3 (Move cursor to intersection of AC and BD.
ENTER
E
4. Measure AC, BD, AE, EC, BE, and ED.
F6
1 (Move cursor to AC.
cursor to A.)
ENTER
ENTER
5. Use the drag key
100
(Move cursor to BD.
(Move cursor to E.)
(Move cursor to B.)
(Move cursor to D.)
ENTER
ENTER
ENTER
ENTER
(Move cursor to E.)
ENTER
(Move
(Move cursor to C.)
ENTER
ENTER
ENTER
and the cursor pad to drag a vertex of kite ABCD.
Geometry
Chapter 6 Resource Book
Copyright © McDougal Littell Inc.
All rights reserved.
MCRBG-0607-GC.qxd
4-27-2001
2:49 PM
Page 101
LESSON
6.7
CONTINUED
NAME _________________________________________________________ DATE ____________
Technology Activity Keystrokes
For use with pages 372–380
SKETCHPAD
1. Turn on the axes and the grid by choosing Snap To Grid from the Graph menu.
Choose the segment straightedge tool.
Draw a segment from 1, 0 to 0, 1.
Draw a segment from 0, 1 to 2, 0.
Draw a segment from 2, 0 to 0, 1.
Draw a segment from 0, 1 to 1, 0. Label the vertices.
Choose the text tool. Label vertex 1, 0 A, label vertex 0, 1 B, label vertex 2, 0
C, and label vertex 0, 1 D.
Turn off the axes and the grid.
Choose Hide Axes from the Graph menu.
Choose Hide Grid from the Graph menu.
2. Choose the segment straightedge tool and construct the diagonals of the kite,
AC and BD.
Lesson 6.7
3. Choose the point tool and draw E, the point of intersection of AC and BD. Relabel
the point using the text tool, if necessary.
4. Measure the lengths of AC, BD, AE, EC, BE, and ED.
Choose the selection arrow tool and select AC. Then hold down the shift key, select
BD, and choose Length from the Measure menu.
To measure AE, select A, hold down the shift key, select E, and choose Distance
from the Measure menu.
Repeat this process for EC, BE, and ED, making sure that you have only selected
the endpoints of the segment you are measuring.
5. Use the translate selection arrow tool to drag a vertex of kite ABCD.
Copyright © McDougal Littell Inc.
All rights reserved.
Geometry
Chapter 6 Resource Book
101