Unit 7 Exam Review - Similarity and Transformations
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
B
C
A
A
B
A
D
C
C
A
SHORT ANSWER
11. The scale factor is 3.5.
12. 8 cm, 8 cm, 11.4 cm, and 16 cm
13.
14. 26 cm by 12 cm
15. The width is 4.5 m.
16. y = 4
x° = 64°
17. 77 m
18. 10.4 cm
19. a) 2
b) 4
20. Pentagon P is the reflection image of the black pentagon in the vertical line through 3 on the x-axis.
Pentagon Q is the reflection image of the black pentagon in the horizontal line through 3 on the y-axis.
Pentagon R is the reflection image of the black pentagon in the oblique line through
(4, 10) and (12, 2).
Pentagon S is the reflection image of the black pentagon in the vertical line through 7.5 on the x-axis.
21. a)
4
y
R
3
2
Q
S
1
P
T
–4 –3 –2 –1
–1
Q'
–2
1 2
S'
3
4
x
–3
–4
R'
b) 4
22. 7
B'
A'
B"
A
C
A"
B
23.
24. 6; 60°
PROBLEM
25.
26. Square A has area 81 cm2, so its side length is 9 cm.
Square B has area 49 cm2 , so its side length is 7 cm.
7
The scale factor is:
=
9
27.
10
y
9
C
8
7
B
6
5
D
A
4
E
C'
3
2
A'
1
1
2
3
4
B'
5
6
7
8
9
x
c) The shape ABCC'B'A'E has coordinates: A(2, 5), B(2, 6), C(4, 8), C'(8, 4),
B'(6, 2), A'(5, 2), E(5, 5)
d) It is a seven-sided polygon with a line of symmetry along DE.