4.5 Proving Congruence – ASA and AAS - PowerPoint PPT Presentation

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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

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  1. 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. 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.

  3. Given: L is the midpoint of WE. WREDProve: WRLEDL R E L W 1. L is the midpoint of WE. WRED • WLLE • WE, RD • WRLEDL • Given • Midpoint theorem • Alt. int. s  • AAS D

  4. Given: NKLNJM, KLJMProve: LNMN J K L M N • NKLNJM, KLJM • NN • JMNKLN • LNMN • Given • Reflexive • AAS • CPCTC

  5. Homeworkp.21110-18 even