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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 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?

3 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

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

5 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.

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

7 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.

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

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

10 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

11 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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