Similar Triangles and Similarity

• 7

• 12

• 6

• 4

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

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SAS

• SSS

• Not Similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

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 if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar