![]() SOLUTION AC = 3 and FH = 3 AC FH AB = 5 and FG = 5 AB FGġ2 Use the distance formula to find lengths BC and GH.Ĭongruent Triangles in a Coordinate Plane Use the distance formula to find lengths BC and GH. Side PQ WX If S then PQS WXY Angle Q X A Side QS XY Sġ1 Use the SSS Congruence Postulate to show that ABC FGH.Ĭongruent Triangles in a Coordinate Plane Use the SSS Congruence Postulate to show that ABC FGH. 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. The SSS Congruence Postulate is a shortcut for proving two triangles are congruent without using all six pairs of corresponding parts.ġ0 S A S SSS AND SAS CONGRUENCE POSTULATES POSTULATE 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 CğĨ 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. How do we use triangle congruence to plane and write proves ,and prove that constructions are valid?ĥ Objectives: Prove that triangles are congruent using the ASA Congruence Postulate and the AAS Congruence Theorem Use congruence postulates and theorems in real-life problems.ħ ABC DEF SSS AND SAS CONGRUENCE POSTULATES Look for and express regularity in repeated reasoning.ģ CCSS:G.CO 7 USE the definition of congruence in terms of rigid motions to SHOW that two triangles ARE congruent if and only if corresponding pairs of sides and corresponding pairs of angles ARE congruent.Ĥ ESSENTIAL QUESTION How do we show that triangles are congruent? Construct viable arguments and critique the reasoning of others. Make sense of problems and persevere in solving them. 1 Proving Triangles are Congruent SSS, SAS ASA AASġ.
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