IMO 2013 Shortlist G5

Let ABCDEF be a convex hexagon with AB “ DE, BC “ EF, CD “ FA, and =A ´ =D “ =C ´ =F “ =E ´ =B. Prove that the diagonals...

imomathematicsolympiadshortlistgeometry

IMO 2013 Shortlist G5

Category: Geometry

Problem

Let ABCDEF be a convex hexagon with AB “ DE, BC “ EF, CD “ FA, and =A ´ =D “ =C ´ =F “ =E ´ =B. Prove that the diagonals AD,BE, and CF are concurrent. (Ukraine)