Let ABCD be a rhombus, and let K and L be points such that K lies inside the rhombus, L lies outside the rhombus, and KA=KB=LC=LD. Prove that there exist points X and Y on lines AC and BD such that KXLY is also a rhombus.Proposed by Ankan Bhattacharya geometrycoordinate geometryUSAJMOUSAgeometry solvedAMCUSA(J)MO