Proving Diagonals Bisect Each Other Read the section below

Last updated: 1/17/2024

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