Name _________________________________ Period_________ Date________________
Adapted from Corbin/Lyons
Dilations & Similarity #2
1. What does similarity mean? ______________________
2. What does the symbol ∼ mean? _________________________
𝑥
3. What is the missing number?
How do you know?
35
48
= 56
A
B
4. 𝐴𝐵𝐶𝐷 ∼ 𝐴′𝐵′𝐶′𝐷′. What transformation(s) would
show this to be true?
A′
B′
C
D
5. What line segment’s measure would be needed to
complete the numerator and make the following
equation true?
AB
?

CD C D
D′
C′
6. Name the corresponding sides of ∆𝐴𝐵𝐶 to ∆𝑈𝑉𝑊.
U
C
̅̅̅̅
𝐴𝐵 ∼_________
̅̅̅̅
𝐵𝐶 ∼________
̅̅̅̅ ∼_________
𝐶𝐴
B
A
W
V
7. The pair of triangles below are similar. What is the value of x?
25 in.
x
6 in.
y
8 in.
Proportion _______________
Solution____________
20 in.
8. Using the same figures above, what is the value of y?
Proportion _______________
Solution____________
̅?
9. ∆ 𝐽𝐾𝐿 is similar to ∆ 𝑅𝑆𝑇. What is the value of 𝐽𝐿
J
R
6
K
L
18
S
T
4.5
Proportion _______________
Solution____________
̅̅̅̅ = 42, 𝑚 ̅̅̅̅
̅̅̅̅ = 14, then find 𝑚𝐴𝐹
̅̅̅̅ .
10. ∆ 𝐴𝐵𝐶 ~∆ 𝐴𝐷𝐹. If 𝑚𝐴𝐵
𝐴𝐶 = 30, 𝑎𝑛𝑑 𝑚𝐴𝐷
A
Proportion _______________
D
Solution____________
F
B
C
11. Polygon 𝐴𝐵𝐶𝐷 is similar to polygon 𝐸𝐹𝐻𝐺. Using the values in this diagram, find x.
40
A
B
15
E
F
x
32
D
30
H
C
y
G
Proportion _______________
Solution____________
Proportion _______________
Solution____________
12. Find the value of y in problem #11.
13. At the same time of day, a man who is 10 feet tall casts an 11-foot shadow and his son casts a 2.2 foot
shadow. What is the height of the man’s son?
Proportion _______________
Solution____________
14. If you know two figures are similar but not congruent, what do you know about the measures of the side
lengths and angles?