Proving Triangle Congruence Review

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• SAS

• AAA

What is the reason?

• Definition of Angle

• Definition of Congruence

• Definition of bisects

• Definition of midpoint

Fill in the missing proofs.

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Reflexive Property, Vertical Angles Thm.

• Transitive Property, SSS(Side-Side-Side)

Identify the  missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

Complete the proof.

• Reflexive Property

• CPCTC

• Vertical Angles Theorem

• Midpoint Theorem

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

Which congruence is needed to prove ΔXYZ ≅ ΔJKL by SAS?

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

Which congruence postulate/theorem can be used to prove the triangles are congruent given that M is the midpoint of KQ and KL || PQ?

• SSS

• SAS

• ASA

• AAA

Given the triangles are congruent. Which statement correctly describes the congruences of the triangles?

• ΔKML ≅ ΔPQM

• ΔKML ≅ ΔQMP

• ΔKLM ≅ ΔQMP

• ΔKLM ≅ ΔPMQ

After proving the triangles congruent, what reason would you give to show KL ≅ PQ?

• Vertical Angles Theorem

• ASA

• CPCTC

• Definition of Midpoint