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**4-5 Warm Up Lesson Presentation Lesson Quiz**

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

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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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Objectives Apply ASA and AAS to construct triangles and to solve problems. Prove triangles congruent by using ASA and AAS.

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Vocabulary included side

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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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**Example 1: Applying ASA Congruence**

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

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Example 2 Determine if you can use ASA to prove NKL LMN. Explain.

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**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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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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**Congruence Postulates Extra Examples**

SSS, ASA, SAS, AAS

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**1. Given: ÐA @ÐD AB @ DE ÐB @ ÐE.**

ASA

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2. Given: ÐE DF. AAS

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3. Given: ÐE EF. ASA

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4. Given: DF EF. SAS

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5. Given: ÐF EF. AAS

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6. Given: DE EF DF. SSS

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**7. Given: ÐC and ÐF are rt. Ðs AB @ DE**

ÐD. AAS

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**8. Given: ÐC and ÐF are rt. Ðs AC @ DF**

ÐE. AAS

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9. Given: ÐE DF. AAS

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**10. Given: ÐC and ÐF are rt. Ðs**

ÐE EF. ASA

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11. Given: DE ÐE. ASA

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12. Given: ÐF EF. AAS

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13. Given: BC ^ AC EF ^ DF DE ÐE. AAS

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14. Given: DE EF DF. SSS

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15. Given: DF EF. SAS

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