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.

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

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

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

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