Presentation is loading. Please wait.

Presentation is loading. Please wait.

Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL 4-5 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Similar presentations


Presentation on theme: "Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL 4-5 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation Lesson."— Presentation transcript:

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

2 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL 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, AAS, and HL TSW apply ASA, AAS, and HL to construct triangles and to solve problems. TSW prove triangles congruent by using ASA, AAS, and HL. Objectives

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

5 Holt Geometry 4-5 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.

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

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

9 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Proof Using Third Angle Theorem

10 Holt Geometry 4-5 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).

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

12 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Example 4 Use AAS to prove the triangles congruent. Given: JL bisects KLM, K  M Prove: JKL  JML

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

14 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Example 5: Applying HL Congruence Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

15 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Example 6: Applying HL Congruence

16 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Example 7 Determine if you can use the HL Congruence Theorem to prove ABC  DCB. If not, tell what else you need to know.

17 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent.

18 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part II 4. Given: FAB  GED, ABC   DCE, AC  EC Prove: ABC  EDC

19 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part II Continued ReasonsStatements

20 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent. ASA HL SAS or SSS

21 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part II 4. Given: FAB  GED, ABC   DCE, AC  EC Prove: ABC  EDC

22 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Lesson Quiz: Part II Continued 5. ASA Steps 3,4 5. ABC  EDC 4. Given 4. ACB  DCE; AC  EC 3.  Supp. Thm.3. BAC  DEC 2. Def. of supp. s 2. BAC is a supp. of FAB; DEC is a supp. of GED. 1. Given 1. FAB  GED ReasonsStatements


Download ppt "Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL 4-5 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation Lesson."

Similar presentations


Ads by Google