Free Printable Review for Similarity, Proportions, and Midsegments Quiz

1.

If two polygons are similar, then the corresponding side lengths are ___________.

a)

congruent

b)

similar

c)

equal

d)

proportional

2.

If two polygons are similar, then the corresponding angles are ___________.

a)

congruent

b)

similar

c)

equal

d)

proportional

3.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

4.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

5.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

6.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

7.

Determine whether the triangles are similar.

a)

SSS~

b)

AA~

c)

SAS~

d)

not similar

8.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

9.

Find missing side

a)

5

b)

7

c)

9

d)

11

10.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

11.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

12.

Find y.

a)

144

b)

18

c)

72

d)

12

13.

Similar Triangles can be used to find the distance across the river. Review the picture. Find the missing side measurement in the picture using a proportion.

a)

x = 900 m

b)

25 m

c)

x = 25 m

d)

x = 0.04 m

14.

Are the triangles similar? If so, what theorem says so?

a)

SSS~

b)

AA~

c)

SAS~

d)

Not similar

15.

Fill in the similarity statement for these two triangles.
ΔLMN ~

a)

ΔGEF

b)

ΔEFG

c)

ΔFEG

d)

ΔGFE

16.

Are the triangles similar? If so, name the theorem that says so?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

17.

Are the triangles similar? State how you know.

a)

SAS ~

b)

ASA~

c)

No, They are not similar

d)

SSS~

18.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

19.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS similarity; $\Delta SUR$

b)

similar; SSS similarity; $\Delta URS$

c)

similar; AA similarity; $\Delta URS$

d)

not similar

20.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS and SAS similarity; $\Delta VWK$

b)

not similar

c)

similar; AA similarity; $\Delta WVK$

d)

similar; SSS similarity; $\Delta WKV$

21.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS similarity; $\Delta TML$

b)

not similar

c)

similar; SSS similarity; $\Delta MTL$

d)

similar; SAS similarity; $\Delta MTL$

22.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SAS similarity; $\Delta CBD$

b)

similar; AA similarity; $\Delta BCD$

c)

not similar

d)

similar; AA similarity; $\Delta CBD$

23.

Find the missing length. The triangles in each par are similar.

a)

12

b)

18

c)

9

d)

13

24.

Find the missing length. The triangles in each par are similar.

a)

55

b)

68

c)

52

d)

50

25.

Find the missing length. The triangles in each par are similar.

a)

51

b)

36

c)

49

d)

29

26.

Find the missing length. The triangles in each par are similar.

a)

46

b)

78

c)

84

d)

93

27.

$\overline{AC}\ \parallel\ _{ }$ ____

a)

$\overline{LK}$

b)

$\overline{LJ}$

c)

$\overline{JK}$

d)

The segment is not parallel to any other segment in the diagram.

28.

$BC\ =$ ______

a)

4

b)

5

c)

8

d)

10

29.

What is the perimeter of $\Delta ABC$ ?

a)

13

b)

14

c)

26

d)

Cannot be determined from the information given.

30.

If AB = 22, what is YZ?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

31.

If XZ = 22, what is BC?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

32.

What is the value of x?

a)

17

b)

34

c)

68

d)

Impossible to determine from the information given.

33.

$m\angle A\ =\ 52^o$ , what is $m\angle BXY?$

a)

52

b)

128

c)

104

d)

26

34.

Which angle is congruent to $\angle CYZ\ ?$

a)

$\angle B$

b)

$\angle A$

c)

$\angle ZYB$

d)

$\angle AXZ$

35.

$m\angle XZA\ =40\degree,\$ what is $m\angle C\ ?$

a)

40

b)

80

c)

20

d)

140

36.

$m\angle A=32\degree,$ what is $m\angle AXY\ ?$

a)

32

b)

16

c)

64

d)

148

Review for Similarity, Proportions, and Midsegments Quiz

Total questions: 36

Worksheet time: 18mins

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