Convex quadrilateral (KSV IMO TST 2011)
Source:
April 25, 2011
geometryparallelogramanalytic geometrygeometry proposed
Problem Statement
Prove that the lines joining the middle-points of non-adjacent sides of an convex quadrilateral and the line joining the middle-points of diagonals, are concurrent. Prove that the intersection point is the middle point of the three given segments.