MathDB
the intersection point depends only on k and P, Q

Source: Mediterranean MO 2001

October 31, 2010
geometrytrapezoidsymmetryparallelogramrectangleperpendicular bisectorgeometry unsolved

Problem Statement

Let PP and QQ be points on a circle kk. A chord ACAC of kk passes through the midpoint MM of PQPQ. Consider a trapezoid ABCDABCD inscribed in kk with AB∥PQ∥CDAB \parallel PQ \parallel CD. Prove that the intersection point XX of ADAD and BCBC depends only on kk and P,Q.P,Q.
Back to ProblemsView on AoPS