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4.5 Proving Congruence – ASA and AAS

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## 4.5 Proving Congruence – ASA and AAS

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**4.5 Proving Congruence – ASA and AAS**What you’ll learn: To use the ASA Postulate to test for triangle congruence. To use the AAS Theorem to test for triangle congruence.**2 more ways to prove 2 triangles **Postulate 4.3 Angle-Side-Angle Congruence If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent. Theorem 4.5 Angle-Angle-Side Theorem If 2 angles and a nonincluded side of one triangle are congruent to the corresponding 2 angles and side of a 2nd triangle, then the 2 triangles are congruent.**Given: L is the midpoint of WE. WREDProve:**WRLEDL R E L W 1. L is the midpoint of WE. WRED • WLLE • WE, RD • WRLEDL • Given • Midpoint theorem • Alt. int. s • AAS D**Given: NKLNJM, KLJMProve: LNMN**J K L M N • NKLNJM, KLJM • NN • JMNKLN • LNMN • Given • Reflexive • AAS • CPCTC