lesson practice b 9 - mr. walker - homewalker.rigbytrojans.org/uploads/2/1/5/4/21541244/...23 1 6 4...
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Practice BFor use with the lesson “Perform Reflections”
Graph the reflection of the polygon in the given line.
1. x-axis 2. y-axis 3. x 5 21
x
y
1
1
A
B
C
x
y
1
1 A D
B C
x
y
1
1
A
B
C
4. y 5 1 5. y 5 2x 6. y 5 x
x
y
1
1
A D
B C
x
y
1
3
A D
B
C
x
y
1
1
A
B
C
Use matrix multiplication to find the image. Graph the polygon and its image.
A B C A B C D
7. Reflect F 23 1 6 4 7 2G in the x-axis. 8. Reflect F 2 5 7 1
6 4 25 23G in the y-axis.
x
y
2
2
x
y
2
2
GeometryChapter Resource Book 9-35
Les
so
n 9.3
Lesson
9.3
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Write a matrix for the polygon. Then find the image matrix that represents the polygon after a reflection in the given line.
9. x-axis 10. y-axis 11. x-axis
x
y
1
1
A
B
C
x
y
1
1
A
B
C
D
x
y
1
2
A
BC
Find point C on the x-axis so AC 1 BC is a minimum.
12. A(2, 22), B(11, 24) 13. A(21, 4), B(6, 3) 14. A(23, 2), B(26, 24)
The vertices of n ABC are A(22, 1), B(3, 4), and C(3, 1). Reflect n ABC in the first line. Then reflect n A9B9C9 in the second line. Graph n A9B9C9 and n A0B 0C 0.
15. In y 5 1, then in y 5 22 16. In x 5 4, then in y 5 21 17. In y 5 x, then in x 5 22
x
y
1
1
x
y
2
2
x
y
2
2
18. Laying Cable Underground electrical cable
m
AB
is being laid for two new homes. Where along the road (line m) should the transformer box be placed so that there is a minimum distance from the box to each of the homes?
Practice B continuedFor use with the lesson “Perform Reflections”
GeometryChapter Resource Book9-36
Les
so
n 9
.3
Lesson
9.3
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an
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s Because A 1 B 5 F a 1 e b 1 f c 1 g d 1 hG,
B 1 A 5 F a 1 e b 1 f c 1 g d 1 hG, and
F a 1 e b 1 f c 1 g d 1 hG 5 F a 1 e b 1 f
c 1 g d 1 hG,
then A 1 B 5 B 1 A.
Lesson Perform ReflectionsTeaching Guide
1.
x
y
2
2
A9
B9
C9
B
A
C
A B C A9 B9 C9
2. F 2 5 724 3 1G; F 22 25 27
24 3 1G 3.
x
y
2
1
P9
S9R9
P
RS
P Q R S P9 Q9 R9 S9
4. F 24 1 1 24 3 3 1 1G; F 24 1 1 24
23 23 21 21GPractice Level A
1.
x
y
2
2
A
A9
B9
C9
B
C
2.
x
y
4
6
E
G F
DD9
G9F9
E9
3.
x
y
1
2
L L9MM9
NN9P P9
4.
x
y 1
1
R
R9
TT9
S
S9
5.
x
y
1
1
I
J
H
H9
J9
I9
6.
x
y
1
1
W
U
V
U9
W9
V9
7.
x
y
1
1
A9
B9
C9
CA
B
8.
x
y
1
1
ED D9E9
F9 F
9. n 4 10. n 2 11. n 3 12. n 1 13. n 3
14. false 15. false 16. false 17. true
18.
x
y 1
1
A9
A99B99
C99
B9
C9
19.
n
A
Car
B
Practice Level B
1.
x
y
1
1
A
A9
B9
C9
B
C
2.
x
y
1
1 A D A9
B9
D9
C9B C
Lesson Use Properties of Matrices, continued
GeometryChapter Resource BookA34
9.3
9.2
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3.
x
y 4
1
A A9
B9
C9
B
C
4.
x
y
1
1
A D
A9 D9
B9 C9
B C
5.
x
y
1
3
AD
A9
D9 B9
C9
BC
6.
x
y
1
1
AA9
B9
C9
B
C
7.
x
y
2
2
A
A9
B9
C9
B
C
8.
x
y
2
2
A9
B9
C9
D9
AB
CD
A B C A9 B9 C9
9. F 2 4 6 22 4 1G, F 2 4 6
2 24 21G
A B C D A9 B9 C9 D9
10. F 23 22 2 3 4 0 23 3G, F 3 2 22 23
4 0 23 3G A B C A9 B9 C9
11. F 23 22 4 24 3 2G, F 23 22 4
4 23 22G12. (5, 0) 13. (3, 0) 14. (24, 0)
15.
x
y
2
2
A9
A99 C99
B99B9
C9
16.
x
y
2
2
B9
A9C9
A99
B99
C99
17.
x
y
2
4
B9
A9
C9
A99
B99 C99
18.
m
A
Transformerbox
B
Practice Level C
1.
x
y 6
2
A
A9
B
B9
C
C9
DD9
2.
x
y
22 2
M
NN9
PP9
OO9M9
9
3.
x
y
21 1 A
B
C
DD9
C9
B9
A9
E9E
4.
x
y
2
21
EF
G
G9F9
E9
H
H9
IJ
J9
I9
5. (3, 22) 6. (22, 24) 7. (24, 3) 8. (1, 22)
9. segment 7 10. segment 2 11. segment 4
12. segment 1 13. segment 4 14. segment 4
15. (12, 0) 16. (1, 0)
D E F D E F
17. F 1 5 2 3 3 21G, F 21 25 22
3 3 21 G L M N O L9 M9 N9 O9
18. F 23 2 3 0 2 4 1 1G, F 23 2 3 0
22 24 21 21G R S T R9 S9 T9
19. F 22 1 21 3 1 21G, F 2 21 1
3 1 21 G
Lesson Perform Reflections, continued
GeometryChapter Resource Book A35
9.3