Homework Similar Figures

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

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

• 4:1

• 18:3

• 2:1

• 43:10

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

• 49/16

• 7/4

• 42/24

• 10/8

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?

• 10

• 15

• 45

• 50

• A

• B

• C

• D

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

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

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

• Yes, same shape

• No, different sizes

Figure JKLM is similar to figure PQRS.

Which proportion must be true for

these figures?

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

• corresponding sides are proportional and corresponding angles are congruent

• corresponding sides and angles are congruent

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

• neither sides or angles are congruent

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

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• 
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Figure ABCDE is similar to figure VWXYZ.