Parts of Similar Triangles

Are these triangles similar? If so, by what similarity theorem and what is the similarity statement?

• Yes, AA~, ΔXYZ~ΔNEW

• Yes, AAA~, ΔXZY~ΔNWE

• No, these aren't similar.

• Yes, AA~, ΔYZX~ΔNWE

State the postulate that proves these triangles are similar.

• SSS~

• SAS~

• AA~

• Not similar

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

Find side length X.

• 22.5

• 10

• 9

• 7.5

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• Not Similar

What is the measure of x?

• 12

• 15

• 6

• 9

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

• 5
• 10
• 12
• 15

• 20
• 30
• 25
• 23