Triangle Similarity

State the theorem/criteria that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Explain how to show that the indicated triangles are similar

• SSS

• SAS

• AA

• These are not similar.

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

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

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

The next 4 questions focus on finding the value of x in this diagram.

Step 1: Write a proportion for the corresponding sides.

• 18x - 18 = 12x + 36

• 18x - 1 = 12x + 3

• 18x + 54 = 12x -12

• 216 = (x-1)(x+3)

• x=9

• x=3

• x=7

• x=12