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Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL 4-7 Triangle Congruence: ASA, AAS, and HL Holt Geometry Section 4.7 Section 4.7 Holt McDougal.

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Presentation on theme: "Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL 4-7 Triangle Congruence: ASA, AAS, and HL Holt Geometry Section 4.7 Section 4.7 Holt McDougal."— Presentation transcript:

1 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL 4-7 Triangle Congruence: ASA, AAS, and HL Holt Geometry Section 4.7 Section 4.7 Holt McDougal Geometry

2 4-6 Triangle Congruence: ASA, AAS, and HL 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?

3 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

4 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Name the included side between each pair of angles. 1.R and K2. X and R 3. 8 and 94. 10 and 12 5. 5 and 16. 4 and 2

5 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

6 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove the triangles congruent. Explain.

7 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove NKL  LMN. Explain.

8 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL You can use the Third Angles Theorem to prove another congruence relationship based on ASA. This theorem is Angle-Angle-Side (AAS).

9 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

10 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

11 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Given: JL bisects KLM, K  M Prove: JKL  JML

12 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

13 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL What information is missing to say that: a.ΔTUW  ΔQOS by SAS b. ΔTUW  ΔQOS by AAS

14 Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent.


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