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Geometry 4.5 Big Idea: Prove Triangles are Congruent by ASA and AAS Postulate 21 Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent. E B A C D If Angle ÐA @ ÐD Side AC @ DF Angle ÐC @ ÐF then DABC @ DDEF F Theorem 4.6 Angle-Angle-Side(AAS) Congruence Theorem If two angles and a non included side of one triangle are congruent to two angles and the corresponding non included side of a second triangle, then the two triangles are congruent. E B A C If Angle ÐA @ ÐD Angle ÐC @ ÐF Side BC @ EF then DABC @ DDEF D F Determine whether or not the triangles are congruent. Explain your reasoning. Determine whether or not the triangles are congruent. Explain your reasoning. Determine whether or not the triangles are congruent. Explain your reasoning. R U T S V
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