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two rhombi

Source: Polish 2007 2nd Round

March 2, 2007
geometrycyclic quadrilateralpower of a pointradical axisgeometry unsolved

Problem Statement

We are given a cyclic quadrilateral ABCD   AB\not=CD. Quadrilaterals AKDLAKDL and CMBNCMBN are rhombuses with equal sides. Prove, that KLMNKLMN is cyclic
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