AA Triangle Similarity Theorem

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

• adjacent; intersect

• complementary; form

• adjacent; create

• proportional; included

According to the Triangle Angle Bisector Theorem, which proportion is set up correctly?

• All of the above
  

Which is the correct proportion for solving for x?

Write a proportion to find the length of "?"

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

Why are the triangles similar?

• AA

• SAS

• SSS

• AAS

Determine whether the triangles are similar.

• SSS

• AA

• SAS

• not similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO