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ABCD is a square with centre O

Source: itamo 2009 p2

February 17, 2012
geometrygeometric transformationrotationgeometry proposed

Problem Statement

ABCDABCD is a square with centre OO. Two congruent isosceles triangle BCJBCJ and CDKCDK with base BCBC and CDCD respectively are constructed outside the square. let MM be the midpoint of CJCJ. Show that OMOM and BKBK are perpendicular to each other.
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