MathDB

43

Part of 1983 IMO Longlists

Problems(1)

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

Source:

10/7/2010
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.
geometryparallelogramrectanglegeometry unsolved