![]() ![]() 2 1 Statements Reasons AE DE, BE CE Given 1 1 2 Vertical Angles Theorem 2 AEB DEC SAS Congruence Postulate 3 Using the SAS Congruence Postulate Prove that AEB DEC. Side PQ WX If S then PQS WXY Angle Q X A Side QS XY S POSTULATE 20 Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. So by the SSS Congruence Postulate, you know that PQW TSW.ĥ S A S SSS AND SAS CONGRUENCE POSTULATES POSTULATE SOLUTION Paragraph Proof The marks on the diagram show that PQ TS, PW TW, and QW SW. Using the SSS Congruence Postulate Prove that PQW TSW. The SSS Congruence Postulate is a shortcut for proving two triangles are congruent without using all six pairs of corresponding parts.Ĥ The marks on the diagram show that PQ TS, PW TW, and QW SW. If Side MN QR S then MNP QRS Side NP RS S Side PM SQ S ![]() POSTULATE 19 Side - Side - Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. AC DF CğĢ S S S SSS AND SAS CONGRUENCE POSTULATES POSTULATE Sides are congruent Angles are congruent Triangles are congruent If and then ABC DEF 1. If all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. 1 ABC DEF SSS AND SAS CONGRUENCE POSTULATES ![]()
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