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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 4-5 Triangle Congruence: ASA and AAS Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Do Now 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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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Apply ASA and AAS to construct triangles and to solve problems. Prove triangles congruent by using ASA and AAS. Objectives

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS included side Vocabulary

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 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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Holt Geometry 4-5 Triangle Congruence: ASA and AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Example 1: Applying ASA Congruence Determine if you can use ASA to prove the triangles congruent. Explain.

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Example 2 Determine if you can use ASA to prove NKL LMN. Explain.

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Example 3: Using AAS to Prove Triangles Congruent Use AAS to prove the triangles congruent. Given: X V, YZW YWZ, XY VY Prove: XYZ VYW

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent, or determine “not possible.” ASA not possible SAS or SSS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS Congruence Postulates Extra Examples SSS, ASA, SAS, AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 1. Given: A D AB DE B E. ASA

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 2. Given: C F B E AC DF. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 3. Given: C F B E BC EF. ASA

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 4. Given: C F AC DF BC EF. SAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 5. Given: A D C F BC EF. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 6. Given: AB DE BC EF AC DF. SSS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 7. Given: C and F are rt. s AB DE A D. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 8. Given: C and F are rt. s AC DF B E. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 9. Given: C F B E AC DF. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 10. Given: C and F are rt. s B E BC EF. ASA

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 11. Given: A D AB DE B E. ASA

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 12. Given: A D C F BC EF. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 13. Given: BC AC EF DF AB DE B E. AAS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 14. Given: AB DE BC EF AC DF. SSS

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Holt Geometry 4-5 Triangle Congruence: ASA and AAS 15. Given: C F AC DF BC EF. SAS

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