MathDB
Problem 5

Source: 21-st Iberoamerican Mathematical Olympiad

May 6, 2007
geometrycyclic quadrilateralprojective geometrygeometry unsolved

Problem Statement

The sides ADAD and CDCD of a tangent quadrilateral ABCDABCD touch the incircle φ\varphi at PP and Q,Q, respectively. If MM is the midpoint of the chord XYXY determined by φ\varphi on the diagonal BD,BD, prove that ∠AMP=∠CMQ.\angle AMP = \angle CMQ.
Back to ProblemsView on AoPS