Quiz about Similarity and Trigonometric Ratio

Question 1

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 2

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 3

If two figures are similar their angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 4

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 5

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 6

Complete each proportion.
AB / BM = ? / CD

Accepted Answer

AC

Answer

BC

Answer

MD

Answer

MC

Question 7

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 8

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 9

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 10

Solve for X

Accepted Answer

7.5

Answer

4.8

Answer

13.33

Answer

5

Question 11

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 12

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.

Question 13

Two prisms are similar. Their edge lengths have a ratio of a/b. Which statement is true?

Accepted Answer

The surface areas of the prisms are in a ratio of a²/b².

Answer

The surface areas of the prisms are in a ratio of a³/b³.

Question 14

If the length of the side of a square is multiplied by 3, which statement is true?

Accepted Answer

The perimeter is multiplied by 3 and the area by 9.

Answer

The perimeter and the area are both multiplied by 3.

Answer

The perimeter and the area are both multiplied by 9.

Answer

The perimeter is multiplied by 9 and the area by 3.

Question 15

Find the length of side w.

Accepted Answer

18.0 cm

Answer

21.4 cm

Answer

36.5 cm

Answer

43.6 cm

Question 16

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.

Accepted Answer

87 ft

Answer

63 ft

Answer

65 ft

Answer

74 ft

Question 17

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 18

What trigonometric ratio would be used to find the distance from the ship to the plane?

Accepted Answer

sine

Answer

cosine

Answer

tangent

Answer

inverse sine

Question 19

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

Accepted Answer

71 degrees

Answer

19 degrees

Answer

45 degrees

Answer

138 degrees

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