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Interior of a convex quadrilateral ABCD

Source: CWMO 2003, Problem 4

December 27, 2008
LaTeXgeometry unsolvedgeometry

Problem Statement

Given that the sum of the distances from point P P in the interior of a convex quadrilateral ABCD ABCD to the sides AB,BC,CD,DA AB, BC, CD, DA is a constant, prove that ABCD ABCD is a parallelogram.
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