Quiz about Similar Figures

Question 1

What is the ratio of the surface areas from large to small.

Accepted Answer

49/16

Answer

7/4

Answer

42/24

Answer

10/8

Question 2

If the cylinders below are similar, what is the ratio of the radius of the larger cylinder to the radius of the smaller cylinder?

Accepted Answer

2:1

Answer

4:1

Answer

18:3

Answer

43:10

Question 3

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 4

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 5

Figure JKLM is similar to figure PQRS.

Which proportion must be true for

these figures?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

Tell whether the two figures are similar. Explain your reasoning.

Accepted Answer

Yes, similar because they are the same shape and side lengths are proportional.

Answer

No, not similar because they are the same shape, but side lengths are not proportional.

Answer

Yes, same shape

Answer

No, different sizes

Question 7

As it relates to geometry, what does it mean for figures to be similar?

Accepted Answer

corresponding sides are proportional and corresponding angles are congruent

Answer

corresponding sides and angles are congruent

Answer

angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

Answer

neither sides or angles are congruent

Question 8

Figure ABCDE is similar to figure VWXYZ.

Accepted Answer

$$\frac{AB}{VW}=\frac{CD}{XY}$$

Answer

$$\frac{AE}{XY}=\frac{CD}{VZ}$$

Answer

$$\frac{AB}{VW}=\frac{YZ}{DE}$$

Answer

$$\frac{BC}{XY}=\frac{DE}{YZ}$$

Question 9

Are the two figures similar?

Accepted Answer

yes

Answer

no

Question 10

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

Accepted Answer

Question 11

Tell whether the two figures are congruent or similar.

Accepted Answer

Similar, because their sides are proportional.

Answer

Congruent, because their sides are the same.

Answer

Congruent, because their sides are proportional.

Answer

Similar, because their sides are the same.

Answer

They are not congruent or similar.

Question 12

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

Accepted Answer

15

Answer

10

Answer

45

Answer

50

Question 13

Which of the following is NOT true about similar figures?

Accepted Answer

Similar figures always have the same size.

Answer

Similar figures always have the same shape.

Answer

Similar figures always have corresponding angles that are equal.

Answer

Similar figures always have corresponding sides that are proportional.

Question 14

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 15

Two triangles have angles measuring $$60^\circ$$ , $$60^\circ$$ , and $$60^\circ$$ . Are these triangles similar?

Accepted Answer

Yes, they are similar.

Answer

No, they are not similar.

Question 16

Triangle ABC has sides of length 3, 4, and 5. Triangle DEF has sides of length 6, 8, and 10. Are these triangles similar?

Accepted Answer

Yes, they are similar.

Answer

No, they are not similar.

Question 17

If two triangles have two pairs of corresponding angles equal, what can be said about the triangles?

Accepted Answer

They are similar.

Answer

They are congruent.

Answer

They are neither similar nor congruent.

Question 18

Triangle XYZ has angles measuring $$45^\circ$$ , $$45^\circ$$ , and $$90^\circ$$ . Triangle PQR has angles measuring $$45^\circ$$ , $$45^\circ$$ , and $$90^\circ$$ . Are these triangles similar?

Accepted Answer

Yes, they are similar.

Answer

No, they are not similar.

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