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What else can you prove about parallelograms? Prove that the diagonals of a parallelogram bisect each other. For example, assuming that quadrilateral at right is a parallelogram, prove that and . Fill in the missing statements and reasons in the flowchart proof below. Then record your theorem in your Theorem Graphic Organizer.

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

What reason justifies that and ?

Flow chart outline with 8 ovals: 1 flows to 2 & 5, 3, 4, 5 flow to 6, 6 flows to 7 & 8. All ovals blank except the following: #3 if lines are parallel, alternate interior angles are congruent. #5: Opposite sides of a parallelogram are congruent. #7: Segment, WM, congruent to segment, YM. #8 Segment, ZM, congruent to segment, XM.