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Warm Up

Warm Up. Can you determine that the triangles are congruent? Explain. A) B). Section 4 – 3 Triangle Congruence by ASA and AAS. Objective : To prove two triangles congruent using the ASA Postulate and the AAS Theorem. Postulate 4 – 3 Angle - Side - Angle ( A S A ) Postulate.

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Warm Up

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  1. Warm Up Can you determine that the triangles are congruent? Explain. A) B)

  2. Section 4 – 3 Triangle Congruence byASA and AAS Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem

  3. Postulate 4 – 3Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

  4. Example 1 Using ASA A) Name two triangles that are congruent by the ASA Postulate.

  5. B) Are these two triangles congruent? Why or Why not?

  6. Theorem 4 – 2Angle-Angle-Side (AAS) Theorem If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

  7. Example 2 Using AAS A) Write a two-column proof to prove .

  8. B) Prove

  9. C) Given: Prove:

  10. Example 3 Using ASA and AAS What else must you know to prove the triangle congruent for the reason shown? A) B) C)

  11. Homework:Textbook Pg 197 – 198; #1 – 7, 9 – 12, 14 – 17

  12. Homework:Textbook Pg 197 – 198; #1 – 7, 9 – 12, 14 – 17

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