AAS 4 5 Triangle Congruence ASA and AAS

4 -5 Triangle Congruence: ASA and AAS Do Now 1. What are sides AC

4 -5 Triangle Congruence: ASA and AAS Objectives • Apply ASA and AAS to

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

4 -5 Triangle Congruence: ASA and AAS An included side is the common side

4 -5 Triangle Congruence: ASA and AAS Holt Geometry

4 -5 Triangle Congruence: ASA and AAS Example 1: Applying ASA Congruence Determine if

4 -5 Triangle Congruence: ASA and AAS Example 2 Determine if you can use

4 -5 Triangle Congruence: ASA and AAS Example 3: Using AAS to Prove Triangles

4 -5 Triangle Congruence: ASA and AAS Lesson Quiz: Part I Identify the postulate

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

4 -5 Triangle Congruence: ASA and AAS 1. Given: ÐA @ÐD AB @ DE

4 -5 Triangle Congruence: ASA and AAS 2. Given: ÐC @ÐF ÐB @ ÐE

4 -5 Triangle Congruence: ASA and AAS 3. Given: ÐC @ÐF ÐB @ ÐE

4 -5 Triangle Congruence: ASA and AAS 4. Given: ÐC @ÐF AC @ DF

4 -5 Triangle Congruence: ASA and AAS 5. Given: ÐA @ÐD ÐC @ ÐF

4 -5 Triangle Congruence: ASA and AAS 6. Given: AB @ DE BC @

4 -5 Triangle Congruence: ASA and AAS 7. Given: Ðs ÐC and ÐF are

4 -5 Triangle Congruence: ASA and AAS 8. Given: Ðs ÐC and ÐF are

4 -5 Triangle Congruence: ASA and AAS 9. Given: ÐC @ÐF ÐB @ ÐE

4 -5 Triangle Congruence: ASA and AAS 10. Given: ÐC and ÐF are rt.

4 -5 Triangle Congruence: ASA and AAS 11. Given: ÐA @ÐD AB @ DE

4 -5 Triangle Congruence: ASA and AAS 12. Given: ÐA @ÐD ÐC @ ÐF

4 -5 Triangle Congruence: ASA and AAS 13. Given: AAS BC ^ AC EF

4 -5 Triangle Congruence: ASA and AAS 14. Given: SSS Holt Geometry AB @

4 -5 Triangle Congruence: ASA and AAS 15. Given: SAS Holt Geometry ÐC @ÐF

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

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

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

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

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

4 -5 Triangle Congruence: ASA and AAS 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 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 Holt Geometry

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

4 -5 Triangle Congruence: ASA and AAS 1. Given: ÐA @ÐD AB @ DE ÐB @ ÐE. ASA Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 2. Given: ÐC @ÐF ÐB @ ÐE AC @ DF. AAS Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 3. Given: ÐC @ÐF ÐB @ ÐE BC @ EF. ASA Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 4. Given: ÐC @ÐF AC @ DF BC @ EF. SAS Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 5. Given: ÐA @ÐD ÐC @ ÐF BC @ EF. AAS Holt Geometry

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

4 -5 Triangle Congruence: ASA and AAS 7. Given: Ðs ÐC and ÐF are rt. AB @ DE ÐA @ ÐD. AAS Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 8. Given: Ðs ÐC and ÐF are rt. AC @ DF ÐB @ ÐE. Holt Geometry AAS

4 -5 Triangle Congruence: ASA and AAS 9. Given: ÐC @ÐF ÐB @ ÐE AC @ DF. Holt Geometry AAS

4 -5 Triangle Congruence: ASA and AAS 10. Given: ÐC and ÐF are rt. Ðs ÐB @ ÐE BC @ EF. ASA Holt Geometry

4 -5 Triangle Congruence: ASA and AAS 11. Given: ÐA @ÐD AB @ DE ÐB @ ÐE. Holt Geometry ASA

4 -5 Triangle Congruence: ASA and AAS 12. Given: ÐA @ÐD ÐC @ ÐF BC @ EF. Holt Geometry AAS

4 -5 Triangle Congruence: ASA and AAS 13. Given: AAS BC ^ AC EF ^ DF AB @ DE ÐB @ ÐE. Holt Geometry

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

4 -5 Triangle Congruence: ASA and AAS 15. Given: SAS Holt Geometry ÐC @ÐF AC @ DF BC @ EF.