Trang chủ Thursday, August 11th, 2022

Weekend math problem

[ Friday, 26 March, 2010 ]

Bài thi học sinh giỏi toán Áo quốc 2004
Problem 3 of the Austrian Mathematical Olympiad 2004

We are given a convex quadrilateral ABCD with ∠ADC = ∠BCD > 90°.
Let E be the intersection of the line AC with the line parallel to AD through B and F be the intersection of the line BD with the line parallel to BC through A. Show that EF is parallel to CD.

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