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Proving Diagonals Bisect Each Other Read the section below and complete the following activity adapted...

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Geometry

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Proving Diagonals Bisect Each Other Read the section below and complete the following activity adapted from Lesson 9 1 Theorem 3 If a quadrilateral is a parallelogram then its diagonals bisect each other The figure WXYZ is a parallelogram WY XZ Below is the flow proof that the diagonals of a parallelogram bisect each other Given ABCD is a parallelogram Prove AE CE and BE DE AB DC Definition of parallelogram ZABEZCDE Alternate Interior Angles Theorem ABCD is a parallelogram Given ZBAEZDCE Alternate Interior Angles Theorem D AB DC Opposite sides of a parallelogram are congruent AABE ACDE ASA Triangle Congruence Theorem 8 AE CE and BE DE CPCTC

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