Dilations and Similar Figures Review

Are the two figures SIMILAR?

• False

• True

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Q1. How long is the object?

• 4 ft

• 15 ft

• 18 ft

• 2 ft

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

• 8 feet

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.

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• 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 these triangles similar?

• Yes

• No

Are these figures similar?

• yes

• no

Sides in similar figures must be proportional.  

• True

• False 

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in

• 60 in

• 62 in

• 80 in