Statement and Reason to Prove Triangles Congruent

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• AAS

• Not enough information

Including the Reflexive Property, state whether the triangles are congruent and why.

• no, not enough information

• yes, SAS

• yes, ASA

• yes, HL

Including the Reflexive Property, state whether the triangles are congruent and why.

• yes, SSS

• yes, ASA

• yes, AAS

• yes, HL

State if the triangles are congruent and why.

• Not congruent

• AAS

• SSS

• ASA

State if the triangles are congruent and why.

• AAS

• ASA

• Not congruent

• SSS

Using the Reflexive Property, which theorem proves that the triangles are congruent.

• SAS

• AAS

• ASA

• HL

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

• SAS

• ASA

• AAS

• HL

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

• SAS

• SSS

• ASA

• HL

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

• SSS

• ASA

• AAS

• SAS

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED