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Geometry 4.5 Notes Name _____________________________ 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. State the third congruence that is needed to prove that using the given postulate or theorem. a) b) c) Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem. a) AED BDC by ASA b) AED BDE by AAS c) AFE DFB by SAS Tell whether you can use the given information to determine whether reasoning. a) c) b) Explain your d) Is it possible to prove that the triangles are congruent? If so, state the postulate(s) or theorem(s) you would use. Proof #1 Statements Proof #2 Reasons Proof #3 Statements Proof #5 Statements Reasons Proof #4 Statements Reasons Statements Reasons Reasons