Congruence in Overlapping Triangles

The red and blue triangles are congruent. Identify a common side or angle.

• Side DF

• Angle E

• Angle G

• Angle GDE

The red and blue triangles are congruent. Identify a common side or angle.

• Side XY

• Side XZ

• Angle TWZ

• Side YT

ΔKNM is congruent to ΔPLM. They have _______ in common.

• Angle M

• Angle P

• Angle K

• Angle MLP

According to the diagram, which statement is true?

• Triangle DEH is congruent to triangle GFH by AAS

• Triangle DEH is congruent to triangle GFH by SAS

• Triangle DEF is congruent to triangle GFE by AAS

• Triangle DEF is congruent to triangle GFE by SAS

Are these triangles congruent?

• Yes, by AAS

• Yes, by ASA

• No they are not congruent

• Not enough information to know for sure

Are these triangles congruent?

• Yes, by ASA

• Yes, by SAS

• No they are not congruent

• Not enough information to know for sure

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

Which is NOT a test to prove triangles congruent?

• SAA

• SSS

• SSA

• SAS

Identify any common angles or sides.

• Angle MJK
• Angle MKJ

CDG and △FCE share ______ .

• ∠C

• ∠E

• ∠F

• ∠D