Similar Figures Mixed Practice

True or False: Similar figures have equal sides and equal angles.

• True

• False

A scale drawing of a patio is shown. The scale is 2 inches : 3 feet. What is the length of the patio (in feet)?

• 22.5 ft

• 21 ft

• 14 in

Which shows a pair of shapes that are not similar? All corresponding angles have equal measure.

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• 
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What is the length in inches of line segment PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

Are the following figures similar? Why or why not?

• Yes, the ratios of the corresponding sides are equal.

• No, the ratios of the corresponding sides are not equal.

• No, the corresponding angles are not equal.

• Yes, the corresponding angles are equal.

The two figures are similar. Solve for x.

• 4

• 95

• 100

• 143

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. How tall is the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

Are these triangles similar?

• Yes

• No

Sides in similar figures must be proportional.  

• True

• False