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Properties of Similar Triangles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Complete each proportion.

CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

2.

Q1. What is the answer to life, the universe, and everything?

a)

3

b)

40

c)

42

d)

104

3.
a)

20

b)

30

c)

40

d)

50

4.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

5.
a)

a

b)

b

c)

c

d)

d

6.

In the diagram below Δ𝑃𝑄𝑅≅Δ𝐽𝐾𝐿. Find the values of 𝑥, 𝑦, and 𝑧.

a)

𝑥=40°, 𝑦=65°, 𝑧=75°

b)

𝑥=40°, 𝑦=75°, 𝑧=65°

c)

𝑥=75°, 𝑦=65°, 𝑧=40°

d)

𝑥=75°, 𝑦=40°, 𝑧=65°

7.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

8.

Solve.

a)

5

b)

9

c)

18

d)

43

9.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

invisible

10.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

yellow

d)

obtuse

11.

 Solve.

a)

60

b)

24

c)

16

d)

12

12.
a)
5
b)
10
c)
15
d)
20
13.
a)
38
b)
40
c)
42
d)
44
14.
a)
-6
b)
0
c)
6
d)
12
15.
a)
14
b)
15
c)
16
d)
17
16.
a)
15
b)
16
c)
17
d)
18
17.
a)
2
b)
8
c)
12
d)
16
18.
a)
5
b)
30
c)
45
d)
55
19.
a)
1
b)
3
c)
5
d)
7
20.
a)
1
b)
3
c)
5
d)
7