Exploring Quadrilaterals

Suppose that ABCD is a convex quadrilateral with the property that its diagonals bisect each other.

A) Need/can ABCD be a kite?

B) Need/can ABCD be a parallelogram

C) Need/can ABCD be a rectangle?

Explain whether ABCD needs to be or can be each specified quadrilateral.

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Kelly Harms, Created with GeoGebra