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Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?

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Presentation on theme: "Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?"— Presentation transcript:

1 Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent? 3) 1) 2) )) ) ( (( S.A.S. S.S.S. A.S.A. 4) (( ( A.A.S. Theorem Theorem #20: Angle-Angle-Side Theorem (A.A.S.) If two angles and the non-included side are congruent to two angles and the corresponding non-included side of another triangle, the two triangles are congruent.

2 Ex: A.A.S Theorem In each case, state whether A.A.S. be used to prove the triangles congruent. 1) )) ( (( 2) ( X 3) ) Geometry Lesson: Angle-Angle-Side Theorem

3 G M T R Ex: A.A.S. Theorem Given: Prove: Statement Reason 1) 2) 3) 4)
5) 6) 7) Given Def. perpendicular lines Given Reflexive Postulate A.A.S. Theorem C.P.C.T.C. Geometry Lesson: Angle-Angle-Side Theorem

4 S T R D E Ex: 1,2,3 A.A.S. Theorem: R M B P 1) Given: Prove: 2) Given:
K P V M 3) Given: Prove: Geometry Lesson: Angle-Angle-Side Theorem

5 Ex: 4, 5 A.A.S. Theorem: Geometry Lesson: Angle-Angle-Side Theorem


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