Triangle Congruence and Proofs

Which of the following is NOT enough to prove two triangles are congruent?

• SSS

• SAS

• SSA

• ASA

• AAS

Are the triangles shown congruent?

• Yes, by AAS

• Yes, by SAS

• No

• Yes, by ASA

Are the triangles shown congruent?

• Yes, by ASA

• Yes, by SAS

• Not enough information

• Yes, by SA

Are the triangles shown congruent?

• Yes, by SSS

• Yes, by ASA

• Not enough information

• Yes, by AA

Mark the vertical angles in this diagram.

Are the triangles shown congruent?

• Yes, by SAS

• Yes, by SSS

• Yes, by ASA

• No

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• Yes by ASA
• Yes by AAS
• Yes by SSA
• Not congruent

Congruent by

• SSS
• SAS
• ASA
• AAS

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• SSA
• AAS
• ASA
• Not necessarily congruent

Congruent by

• SSS
• SAS
• ASA
• AAS