Proving Triangle Similarity (SSS, SAS, AA)

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

• $\Delta PQR\sim\Delta TUV$ by $AA\sim$

Answer explanation

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

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

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

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

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

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

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

• Not Similar

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 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 and if so, identify the correct similarity statement.

• AA~

• SSS~

• SAS~

• None of these

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

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

Which postulate or theorem proves these triangles are similar?

• AA

• HL

• SAS

• SSS