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Pedal quadrilaterl with perpendicular diagonals

Source: Sharygin contest. The final raund. 2008. Grade 9. First day. Problem 2

August 31, 2008
geometry unsolvedgeometry

Problem Statement

(F.Nilov) Given quadrilateral ABCD ABCD. Find the locus of points such that their projections to the lines AB AB, BC BC, CD CD, DA DA form a quadrilateral with perpendicular diagonals.
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