Quiz about Similar Triangles Word Problems

Question 1

If two figures are similar their angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 2

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 3

Find the height of the tree.

Accepted Answer

15 ft

Answer

8 ft

Answer

12 ft

Answer

13 ft

Question 4

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 5

Use the information in the diagram to determine the height of the tree.

Accepted Answer

80 feet

Answer

320 feet

Answer

40 feet

Answer

160 feet

Question 6

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

Accepted Answer

17.5 m

Answer

9 m

Answer

15.2 m

Answer

12 m

Question 7

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 8

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Accepted Answer

proportional, congruent

Answer

congruent, proportional

Answer

congruent, congruent

Answer

proportional, proportional

Question 9

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 10

If two figures are similar their angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 11

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 12

What is the measure of x?

Accepted Answer

9

Answer

12

Answer

15

Answer

6

Question 13

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 14

Complete each proportion.
CB / DM = AC / ?

Accepted Answer

AD

Answer

BM

Answer

MA

Answer

BC

Question 15

Determine if the triangles are similar. Justify.

Accepted Answer

Yes, by SAS. Scale Factor is 3:1.

Answer

Yes, by SSS.

Answer

Yes, by SAS. Scale Factor is 1:2.

Answer

No, not similar.

Question 16

Complete each proportion.
AB / BM = ? / CD

Accepted Answer

AC

Answer

BC

Answer

MD

Answer

MC

Question 17

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 18

A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?

Accepted Answer

4.3

Answer

8.6

Answer

6.4

Question 19

Find the value of x.

Accepted Answer

18.67

Answer

6.92

Answer

2.625

Answer

13.71

Question 20

Solve for X

Accepted Answer

7.5

Answer

4.8

Answer

13.33

Answer

5

Question 21

Solve for x.

Accepted Answer

9

Answer

3

Answer

6

Answer

8

Question 22

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

Accepted Answer

D) PT

Answer

A) SP

Answer

B) ST

Answer

C) PR

Question 23

Which of the following is NOT true about similar figures?

Accepted Answer

B) Similar figures always have the same size.

Answer

A) Similar figures always have the same shape.

Answer

C) Similar figures always have corresponding angles that are equal.

Answer

D) Similar figures always have corresponding sides that are proportional.

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