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Determine the set of all points P....very easy

Source: Serbia and Montanagro 2003

July 31, 2005
geometryrectanglesymmetrycircumcircleperpendicular bisectorgeometry solved

Problem Statement

Let ABCDABCD be a rectangle. Determine the set of all points PP from the region between the parallel lines ABAB and CDCD such that ∠APB=∠CPD\angle APB=\angle CPD.
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