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Home > CCG > Chapter 7 > Lesson 7.2.6 > Problem 7-108

7-108.

What else can you prove about parallelograms? Prove that the diagonals of a parallelogram bisect each other. For example, assuming that quadrilateral below is a parallelogram, prove that and . Organize your reasoning in a flowchart. Then record your theorem in your Theorem Toolkit (Lesson 7.2.1A Resource Page).

Parallelogram W, X, Y, Z with two diagonals inside intersecting at point M. Side W, Z and side X ,Y are both marked with one arrow. Side W, X and side Z, Y are both marked with two marks.

Start by proving by . Think about parallel lines and angles while working on this proof.

What reason justifies that and ?