MathDB
Convex hexagon and midpoints

Source: Polish MO 2006

April 8, 2006
geometrygeometric transformationreflectioncircumcirclerhombuscongruent trianglesperpendicular bisector

Problem Statement

Let ABCDEFABCDEF be a convex hexagon satisfying AC=DFAC=DF, CE=FBCE=FB and EA=BDEA=BD. Prove that the lines connecting the midpoints of opposite sides of the hexagon ABCDEFABCDEF intersect in one point.
Back to ProblemsView on AoPS