Congruence Conditions

Congruence Conditions

Geometry CP

We Are So We Can

​Learning and understanding the definitions of SSS, SAS, ASA, AAS, and HL.

Prove that two triangles are congruent.

Multiple Choice

Which of the following is NOT a valid way to show that two triangles are congruent?

• SSS

• SAS

• SSA

• ASA

Multiple Choice

What is the difference between ASA and AAS?

• ASA has an included angle

• ASA has an included side

• AAS is only for right triangles

• There is no difference

Fill in the Blank

What is the included side for <B and <C?

Open Ended

Given this problem, a student answered that these triangles are congruent by SAS. What is wrong with their response?

​Examples

Multiple Choice

Are these congruent? If so, provide a reason.

• Yes, SAS

• Yes, AAS

• Yes, ASA

• Not congruent

Multiple Choice

Are these congruent? If so, provide a reason.

• Yes, SSS

• Yes, HL

• Yes, SSA

• Not congruent

Multiple Choice

What additional information is needed to prove these are congruent using HL?

• SU is congruent to HF

• <T is congruent to <G

• TU is congruent to FG

• Nothing else is needed!