# Dilations &amp; Similarity #2

```Name _________________________________ Period_________ Date________________
Dilations &amp; Similarity #2
1. What does similarity mean? ______________________
2. What does the symbol ∼ mean? _________________________
π₯
3. What is the missing number?
How do you know?
35
48
= 56
A
B
4. π΄π΅πΆπ· ∼ π΄′π΅′πΆ′π·′. 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
?
ο½
CD C ο’Dο’
D′
C′
6. Name the corresponding sides of βπ΄π΅πΆ to βπππ.
U
C
ΜΜΜΜ
π΄π΅ ∼_________
ΜΜΜΜ
π΅πΆ ∼________
ΜΜΜΜ ∼_________
πΆπ΄
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____________
Μ?
9. β π½πΎπΏ is similar to β πππ. What is the value of π½πΏ
J
R
6
K
L
18
S
T
4.5
Proportion _______________
Solution____________
ΜΜΜΜ = 42, π ΜΜΜΜ
ΜΜΜΜ = 14, then find ππ΄πΉ
ΜΜΜΜ .
10. β π΄π΅πΆ ~β π΄π·πΉ. If ππ΄π΅
π΄πΆ = 30, πππ ππ΄π·
A
Proportion _______________
D
Solution____________
F
B
C
11. Polygon π΄π΅πΆπ· is similar to polygon πΈπΉπ»πΊ. 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?
```