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Congruent Triangles (part 3) Included side vs. Nonincluded side Included side—side connecting the vertices of two angles no e lud nc ni ide s d de u l nc ni de i d s no included side AngleSideAngle (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 two triangles are congruent. E A C D B F 1 Congruent Triangles (part 3) AngleAngleSide (AAS) Congruence Theorem If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. Y V X W U Z AngleAngleAngle is not a valid method for proving triangles are congruent. Must have a least one set of congruent corresponding sides to prove two triangles are congruent. 2 Congruent Triangles (part 3) Use the given information to determine whether or not ∆ABC ≅ ∆DEF. Explain your reasoning. Given: Given: State the additional information that is needed to prove ∆ABC ≅ ∆DEF using the indicated postulate or theorem. Given: Method: AAS Given: Method: ASA 3