4-7 Section 4.7 Triangle Congruence: ASA, AAS, and HL Holt Geometry Holt McDougal Geometry

Warm Up 1. What are sides AC and BC called? Side AB? 2. Which side is in between A and C? 3. Given DEF and GHI, if D  G and E  H, why is F  I?

An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

Name the included side between each pair of angles. R and K 2. X and R 3. 8 and 9 4. 10 and 12 5. 5 and 1 6. 4 and 2

Determine if you can use ASA to prove the triangles congruent. Explain.

Determine if you can use ASA to prove NKL  LMN. Explain.

You can use the Third Angles Theorem to prove another congruence relationship based on ASA. This theorem is Angle-Angle-Side (AAS).

State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

Given: JL bisects KLM, K  M Prove: JKL  JML

What information is missing to say that: ΔTUW  ΔQOS by SAS b. ΔTUW  ΔQOS by AAS

Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent.