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Side – Side – Side (SSS) Postulate

4-2 Triangle congruence by SSS and sas M.11.C.1 2.5.11.B Objectives: 1)to prove two triangles congruent using the SSS and SAS Postulates. Side – Side – Side (SSS) Postulate.

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Side – Side – Side (SSS) Postulate

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  1. 4-2 Triangle congruence by SSS and sasM.11.C.1 2.5.11.BObjectives:1)to prove two triangles congruent using the SSS and SAS Postulates

  2. Side – Side – Side (SSS) Postulate • If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

  3. Side- Angle- Side (SAS) Postulate • If two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the two triangles are congruent.

  4. Examples ___ ___ ___ • Given M is the midpoint of XY, AX ≅ AY • Can we prove △AMX ≅ △AMY? Explain.

  5. Examples ___ ___ • AD ≅ BC • Prove △ADC ≅ △BCD two different ways.

  6. Examples • ∠RSG ≅ ∠RSH • SG = SH • Can the given info prove △RSG ≅△RSH? ___ ___

  7. Example • Can you prove the two triangles are congruent? • Triangle MNP and Triangle QRS with MN = QR, <N = <R and NP = RS.

  8. CLASS WORK • Handed – In • Page 189 #1-5, 8-29

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