# Dilations and Similarity #3

```Name _________________________________ Period_________ Date________________
Created by Corbin/Lyons
Dilations and Similarity #3
1. What does similarity mean as it relates to a figures’ sides and angles?
π₯
2. What is the missing number?
48
= 56
35
3. π΄π΅πΆπ· ∼ πΈπΉπΊπ».
What measurement would need to be in the denominator
to make the equation true?
? =______
ΜΜΜΜ ππ·πΆ
ΜΜΜΜ
ππΆπ΅
=
ΜΜΜΜ
?
ππΊπΉ
F
C
B
G
E
H
A
D
3
ΜΜΜΜ is 12mm, how long isΜΜΜΜΜ
4. If figure π΄π΅πΆπ· (above) is dilated by a scale factor of 4 and ππ·πΆ
π»πΊ ?
5. The pair of triangles in the figure are similar. What is the value of x?
25 in.
6 in.
x
y
8 in.
Proportion _______________
Solution____________
Proportion _______________
Solution____________
20 in.
6. Find the value of y in problem #5.
ΜΜΜΜ = 42, ππ΄πΆ
ΜΜΜΜ = 30, πππ ππ΄π·
ΜΜΜΜ = 21, then find ππ΄πΉ
ΜΜΜΜ .
7. β π΄π΅πΆ ~β π΄π·πΉ. If ππ΄π΅
A
Proportion _______________
D
B
F
C
Solution____________
8. The hexagons below are similar. Find n.
A
n ο½ ___________
52
B
U
F
V
E
C
12
Z
Y
W
n
X
D
9
9. Triangle ABC is similar to triangle KLM where the ratio of proportionality is
What is KL?
2
, and AB = 12 centimeters.
3
B
L
a. 2 cm
b. 4 cm
c. 8 cm
K
d. 24 cm
A
C
10. The two triangles in the picture (to the right) are similar. What is the value of b?
A. π =
3
B. π =
ππ₯
ππ₯
3
C.
π=π₯
11. Triangle πΏππ is similar to Triangle πππ. If π∠πΏ = 25&deg; and π∠π = 40&deg;, find π∠π&deg;.
12. If βπππ ≅ βπππ, which of the following is true?
A.
B.
C.
D.
∠π ≅ ∠π
∠π ≅ ∠π
∠π ≅ ∠π
∠π ≅ ∠π
Draw two triangles on the grid that show this similarity.
M
```