MathDB
A parallelogram and three equal segments

Source: All-Russian MO 2024 10.6

April 22, 2024
geometryparallelogramgeometry proposed

Problem Statement

Let ABCDABCD be a parallelogram. Let MM be the midpoint of the arc ACAC containing BB of the circumcircle of ABCABC . Let EE be a point on segment ADAD and FF a point on segment CDCD such that ME=MD=MFME=MD=MF. Show that BMEFBMEF is cyclic. Proposed by A. Tereshin
Back to ProblemsView on AoPS