4.5 Proving Congruence – ASA and AAS

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Presentation transcript:

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. WRED Prove: WRLEDL WLLE WE, RD WRLEDL Given Midpoint theorem Alt. int. s  AAS

Given: NKLNJM, KLJM Prove: LNMN JMNKLN LNMN Given Reflexive AAS CPCTC

Homework p.211 10-18 even