4.4- Proving Triangle Congruence

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

• no, not enough information

• yes, SAS

• yes, ASA

• yes, HL

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

• yes, AAS

• yes, SAS

• yes, ASA

• no, not enough information

State if the triangles are congruent and why.

• AAS
• SAS
• ASA
• SSS

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 fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

• yes, ASA

• yes, AAS

• yes, SAS

• Not congruent, not enough information.

Including the Reflexive Property, which theorem proves the triangles are congruent.

• ASA

• SSS

• SAS

• AAS

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

• yes by HL

• yes, by SAS

• No, not congruent there is no AAA theorem

• yes, by AAS

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

• SAS

• AAS

• ASA

• HL