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Determine the positions of the points P, Q, R, S

Source:

October 7, 2010
geometryparallelogramrectanglegeometry unsolved

Problem Statement

Given a square ABCDABCD, let P,Q,RP, Q, R, and SS be four variable points on the sides AB,BC,CDAB, BC, CD, and DADA, respectively. Determine the positions of the points P,Q,RP, Q, R, and SS for which the quadrilateral PQRSPQRS is a parallelogram, a rectangle, a square, or a trapezoid.
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