Similarity Theorems

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.
• Similar figures always have the same size.
• Similar figures always have corresponding angles that are equal.
• Similar figures always have corresponding sides that are proportional.

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

• SP
• ST
• PR
• PT

Why are the triangles similar?

• AA~
• SAS~
• SSS~
• AAS~

What is the similarity statement for the triangle pair?

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

Why are the triangles similar?

• AA~
• ASA~
• SAS~
• SSS~

Find length of segment AB.

• x = 810
• x = 21.6
• x = 33.75
• x = 67.5

Complete each proportion.
AB / BM  =  ? / CD

• BC
• AC
• MD
• MC

Solve for x.

• x = 5
• x = 3
• x = 14
• x = 1

Solve for x.

• x = 2
• x = -1
• x = 1
• x = 5

What is the value of x?

• x = 4
• x = 6
• x = 3
• x = 2