90 likes | 292 Views
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.
E N D
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
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.
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.
Examples ___ ___ ___ • Given M is the midpoint of XY, AX ≅ AY • Can we prove △AMX ≅ △AMY? Explain.
Examples ___ ___ • AD ≅ BC • Prove △ADC ≅ △BCD two different ways.
Examples • ∠RSG ≅ ∠RSH • SG = SH • Can the given info prove △RSG ≅△RSH? ___ ___
Example • Can you prove the two triangles are congruent? • Triangle MNP and Triangle QRS with MN = QR, <N = <R and NP = RS.
CLASS WORK • Handed – In • Page 189 #1-5, 8-29