Congruent Triangles Methods

Determine if the triangles are congruent and state by which method.

• SAS

• not congrent

• ASA

• AAS

Determine if the triangles are congruent and state by which method.

• SAS

• not congrent

• ASA

• AAS

Determine if the triangles are congruent and state by which method.

• SAS

• not congrent

• ASA

• AAS

Determine if the triangles are congruent and state by which method.

• HL

• not congrent

• SSA

• AAS

• ASA

Determine if the triangles are congruent and state by which method.

• SAS

• not congrent

• SSS

• AAS

• ASA

Determine if the triangles are congruent and state by which method.

• SAS

• not congrent

• SSS

• AAS

• ASA

Which additional piece of information is needed to prove the triangles congruent by SAS?

• AB ≅ CD

• BE ≅ CE

• ∠A ≅ ∠D

• ∠CED ≅ ∠BEA

Which method would not prove the following triangles congruent?

• SSS

• SAS

• AAA

• AAS

• ASA

EG bisects DF; DE ≅ FE. What method will prove ΔDEG ≅ ΔFEG?

• SSA

• ASA

• SSS

• HL

What additional information is needed to prove the triangles congruent by ASA?

• ∠G ≅ ∠P

• ∠H ≅ ∠M

• FG ≅ RP

• HG ≅ MP