Proving Triangles Similarity by AA

Are the triangles similar?

• Yes

• No

• Cannot be determined

Are the triangles similar?

• Yes

• No

• Cannot be determined

Choose the correct similarity statement for the triangles.

• None of these

Are the triangles similar?

• Yes

• No

• Cannot be determined

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter

Which postulate or theorem proves these triangles are similar?

• AA

• HL

• SAS

• SSS

Are the triangles similar? If yes, choose which theorem we would use to prove similarity.

• AA~

• SSS~

• SAS~

• Not Similar

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

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

• Yes, SSS

• Not Similar

• Yes, SAS

• Yes, AA