Similar Figures Postulates

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?

These two triangles are similar to each other. What is measure is angle R?

Mathematical Equivalence

ON

These two triangles are similar to each other. What is measure is angle Y?

Mathematical Equivalence

ON

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

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

Find the missing area. 

• 0

• 12

• 24

• 30