Ratio of Similar Figures

Find side length X.

• 30

• 25

• 15

• 40

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

• Yes, similar because they have the same shape and the same angles

• No, the ratio of corresponding sides are not equal 

• Yes, same shape

• No, different sizes

Are these Rectangles similar?

• Yes

• No

Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?

• 30 degrees

• 60 degrees

• 150 degrees

• 120 degrees

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

Using a proportion, find the height of the tree.

• 0.0625 ft.

• 36 ft

• 16 ft

• 24 ft

Are the triangles similar?

• Yes

• No

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

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

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