Friday, March 12, 2010

The Complete Quadrilateral: Perpendicular Bisectors of Opposite Sides

Recall the opposite sides of a complete quadrilateral, and construct the perpendicular bisectors of each pair. Provided the bisectors are not the same line, the perpendicular bisectors of opposite sides will intersect at either a real point or at an ideal point (when the two perpendicular bisectors happen to be parallel). Construct the six pairs of perpendicular bisectors and their intersection points.

Drag the GREEN slider slowly to the left, revealing the bisectors and intersection points one at a time.

I will leave the theorem for you to state.

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