Triangle Congruence Theorems

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL

• SSS, SSA, HL, AAS, SAS

• SAS, SSA, HL, AAS, SSS

• HL, SAS, SSA, SSS, ASA

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

What additional information is required for the 2 triangles to be congruent by ASA?

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state which theorem you would use.

• Yes, SAS

• Yes, SSS

• Yes, HL

• No

What additional information is required for the 2 triangles to be congruent by SSS?

• A

• B

• C

• D

What additional information is required for the 2 triangles to be congruent by SAS?

• A

• B

• C

• D

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent