Chapter 4: Triangle Congruence

Missy McCarthy Okemos High School Math Instructor

SECTION 4-6: TRIANGLE CONGRUENCE ASA, AAS, AND HL

I CAN

• Identify included sides and non-included sides in a triangle.

• Apply ASA, AAS, and HL congruence to solve problems and finding missing angles and side lengths.

• Determine if ASA, AAS, or HL can be used to prove that triangles are congruent.

• Prove that two triangles are congruent by the ASA congruence postulate or the AAS or HL congruence theorems.

Another Congruence Postulate

Congruence Theorems

Congruence Theorem cont…

Enough Information?

Do you have enough information to prove that the pairs of triangles are congruent?

Enough Information?

Do you have enough information to prove that the pairs of triangles are congruent?

Enough Information?

Do you have enough information to prove that the pairs of triangles are congruent?

Example

Example

CAN YOU?

• Identify included sides and non-included sides in a triangle.

• Apply ASA, AAS, and HL congruence to solve problems and finding missing angles and side lengths.

• Determine if ASA, AAS, or HL can be used to prove that triangles are congruent.

• Prove that two triangles are congruent by the ASA congruence postulate or the AAS or HL congruence theorems.