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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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