Quiz about Similarity Unit Review

Question 1

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 2

Find the height of the tree.

Accepted Answer

15 ft

Answer

8 ft

Answer

12 ft

Answer

13 ft

Question 3

An adult giraffe is 17 ft 9 in tall and casts a shadow that is 80 ft 6 in long. If a baby giraffe is 6 ft tall, how long would it's shadow be? (leave your answer in inches)

Accepted Answer

326.5 inches

Answer

27.2 inches

Answer

27 inches

Answer

279.4 inches

Question 4

Find the missing length. The triangles are similar.

Accepted Answer

28

Answer

40

Answer

35

Answer

18

Question 5

Solve for x.

Accepted Answer

5

Answer

13

Answer

14

Answer

9

Question 6

If a 10.3 ft tall tree casts a 27.8 ft long

shadow, then how tall is a bird bath that

casts a 11.9 ft shadow? (leave your answer in inches).

Accepted Answer

52.9 inches

Answer

901.2 inches

Answer

19.2 inches

Answer

45.6 inches

Question 7

Find the missing length. The triangles are similar.

Accepted Answer

10

Answer

7

Answer

11

Answer

14

Question 8

Solve for x.

Accepted Answer

11

Answer

3

Answer

10

Answer

12

Question 9

Find the missing length indicated.

Accepted Answer

27

Answer

12

Answer

14

Answer

4

Question 10

Solve for x

Accepted Answer

8

Answer

9

Answer

3

Answer

7

Question 11

Solve for x and y.

Accepted Answer

x = 6, y = 5

Answer

x = 12, y = 8

Answer

x = 10, y = 8

Answer

x = 4, y = 5

Question 12

Complete each proportion.
AB / BM = ? / CD

Accepted Answer

AC

Answer

BC

Answer

MD

Answer

MC

Question 13

The angle bisector splits the third side of a triangle into two parts 7 and 6.  Find the value of x.

Accepted Answer

18.7

Answer

22.3

Answer

3.6

Answer

13.7

Question 14

Why are the triangles similar?

Accepted Answer

SAS~

Answer

AA~

Answer

They are not similar triangles

Answer

SSS~

Question 15

If two figures are similar their corresponding angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 16

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 17

Find x.

Accepted Answer

10.5

Answer

18.7

Answer

7.7

Answer

11

Question 18

Determine whether the triangles are similar or not. If so, state how they are similar.

Accepted Answer

Yes, by AA Similarity

Answer

Yes, by SAS Similarity

Answer

Yes, by SSS Similarity

Answer

No, not similar

Question 19

A woman who stands 5.75 ft tall sees her shadow is 3 ft long. How tall is the tree?

Accepted Answer

14.4

Answer

15

Answer

14

Answer

15.3

Question 20

Solve

Accepted Answer

20

Answer

18

Answer

21.3

Answer

7.2

Question 21

Find length of segment AB.

Accepted Answer

x = 33.75

Answer

x = 810

Answer

x = 21.6

Answer

x = 67.5

Question 22

Are the triangles similar? If so, what similarity shortcut is used?  Show all work.

Accepted Answer

Similar.  AA

Answer

Similar.  SAS

Answer

Similar.  SSS

Answer

Not Similar

Question 23

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

Accepted Answer

Similar.  SSS

Answer

Similar.  SAS

Answer

Similar.  AA

Answer

Not Similar.

Question 24

The triangles are similar, use the triangle proportionality theorem to solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 25

QR is a midsegment of triangle WUV. What is the length of segment QR?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 26

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 27

Find the height of the tree.

Accepted Answer

15 ft

Answer

8 ft

Answer

12 ft

Answer

13 ft

Question 28

Solve the equation for x:

Accepted Answer

15

Answer

17

Answer

16

Answer

14

Question 29

Solve the proportion:

Accepted Answer

4

Answer

21

Answer

24

Answer

3

Question 30

Find y.

Accepted Answer

12

Answer

144

Answer

18

Answer

72

Question 31

Solve for x.

Accepted Answer

x = 5

Answer

x = 3

Answer

x = 14

Answer

x = 1

Question 32

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.

Accepted Answer

x = 25 m

Answer

x = 900 m

Answer

25 m

Answer

x = 0.04 m

Question 33

Find the value of x.

Accepted Answer

10

Answer

35

Answer

8

Answer

None of these

Question 34

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?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 35

Tell whether the triangles are similar or not.

Accepted Answer

a

Answer

b

Question 36

Tell whether the triangles are similar or not.

Accepted Answer

a

Answer

b

Question 37

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 38

Find the missing length indicated.

Accepted Answer

10

Answer

16

Answer

8

Answer

14

Question 39

Find the missing length indicated.

Accepted Answer

14

Answer

28

Answer

8

Answer

20

Question 40

Find the missing length.

Accepted Answer

9

Answer

10

Answer

8

Answer

None of these

Question 41

Find the perimeter of the large triangle.

Accepted Answer

36

Answer

24

Answer

12

Answer

54

Question 42

Find the missing area.

Accepted Answer

20

Answer

15

Answer

25

Answer

30

Question 43

Find the missing side length.

Accepted Answer

35

Answer

32

Answer

20

Answer

16

Question 44

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 45

Find the height of the person using what you know about similar triangles.

Accepted Answer

6.25 ft

Answer

4 ft

Answer

1.25 ft

Answer

5.75 ft

Question 46

Determine the value of x

Accepted Answer

28

Answer

38

Answer

7

Answer

12

Similarity Unit Review

50 questions

Find missing side

Find the height of the tree.

An adult giraffe is 17 ft 9 in tall and casts a shadow that is 80 ft 6 in long. If a baby giraffe is 6 ft tall, how long would it's shadow be? (leave your answer in inches)

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

Find the missing length. The triangles are similar.

Solve for x.

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

If a 10.3 ft tall tree casts a 27.8 ft long
shadow, then how tall is a bird bath that
casts a 11.9 ft shadow? (leave your answer in inches).

Find the missing length. The triangles are similar.

Solve for x.

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Similarity Unit Review

50 questions

Find missing side

Find the height of the tree.

An adult giraffe is 17 ft 9 in tall and casts a shadow that is 80 ft 6 in long. If a baby giraffe is 6 ft tall, how long would it's shadow be? (leave your answer in inches)

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

Find the missing length. The triangles are similar.

Solve for x.

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

If a 10.3 ft tall tree casts a 27.8 ft longshadow, then how tall is a bird bath thatcasts a 11.9 ft shadow? (leave your answer in inches).

Find the missing length. The triangles are similar.

Solve for x.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If a 10.3 ft tall tree casts a 27.8 ft long
shadow, then how tall is a bird bath that
casts a 11.9 ft shadow? (leave your answer in inches).