Properties of 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.

Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

• 20

• 30

• 40

• 50

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Complete each proportion.

CB / DM = AC / ?

• BM

• MA

• BC

• AD

When figures are similar, their corresponding angles are__________________.

• congruent

• proportional

• yellow

• obtuse

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

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

Q1. What is the answer to life, the universe, and everything?

• A) 3

• B) 40

• C) 42

• D) 104