Understand Similar Figures

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.

Which statement is true?

All corresponding sides in similar figures are congruent.

• True, the shape and size are the same.

• False, the corresponding sides are PROPORTIONAL.

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

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

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

Find the missing perimeter.

• 15

• 20

• 25

• 30

Find the missing area. 

• 0

• 12

• 24

• 30