Squares are placed outwardly at each side of quadrilateral

*ABCD*. The center of the squares on the opposite sides are connected with segments (*PN*and*MO*). Move points*A*,*B*,*C*and*D*and observe what happens. Make a conjecture about your observations.Van Aubel's Theorem

Given an arbitrary planar quadrilateral, place a square outwardly on each side, and connect the centers of opposite squares. Then van Aubel's theorem states that the two lines are of equal length and cross at a right angle.

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