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4.2 Triangle Congruence by SSS and SAS

4.2 Triangle Congruence by SSS and SAS. Chapter 4 Congruent Triangles. 4.2 Triangle Congruence by SSS and SAS. Postulate 4-1 Side-Side-Side (SSS) If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

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4.2 Triangle Congruence by SSS and SAS

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  1. 4.2 Triangle Congruence by SSS and SAS Chapter 4 Congruent Triangles

  2. 4.2 Triangle Congruence by SSS and SAS • Postulate 4-1 Side-Side-Side (SSS) If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. • Postulate 4-2 Side-Angle-Side (SAS) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent

  3. Using SSS and SAS • RS = TK. What other information do you need to prove ΔRSK = ΔTKS? R S K T SSS: SAS:

  4. Using SSS and SAS • What other information do you need to prove ΔABC = ΔCDA? A 8 7 6 B D 7 SSS: SAS: C

  5. Proving Triangles Congruent F G Given: FG ll KL, FG = KL Prove:ΔFGK = ΔKLF L K

  6. Proving Triangles Congruent Given: AE and BD bisect each other. Prove: ΔACB = ΔECD B A C D E

  7. Homework • Pg 189 1-27, 33, 41 - 44

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