MathDB
prove that KLMN is rhombus

Source:

December 2, 2007
geometryrhombusparallelogramcyclic quadrilateralgeometry unsolved

Problem Statement

In a ABCD cyclic quadrilateral 4 points K, L ,M, N are taken on AB , BC , CD and DA , respectively such that KLMN is a parallelogram. Lines AD, BC and KM have a common point. And also lines AB, DC and NL have a common point. Prove that KLMN is rhombus.