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

Holt McDougal Geometry

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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?

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

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**Name the included side between each pair of angles.**

R and K X and R 3. 8 and 10 and 12 5. 5 and 4 and 2

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

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

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

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

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

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**Given: JL bisects KLM, K M**

Prove: JKL JML

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**What information is missing to say that:**

ΔTUW ΔQOS by SAS b. ΔTUW ΔQOS by AAS

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

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4.4 Proving Triangles are Congruent: ASA and AAS Geometry.

4.4 Proving Triangles are Congruent: ASA and AAS Geometry.

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