MathDB
concyclic wanted, diameter related

Source: China Northern MO 2023 p1 CNMO

May 5, 2024
geometryConcyclic

Problem Statement

As shown in the figure, ABAB is the diameter of circle ⊙O\odot O, and chords ACAC and BDBD intersect at point EE, EF⊥ABEF\perp AB intersects at point FF, and FCFC intersects BDBD at point GG. Point MM lies on ABAB such that MD=MGMD=MG . Prove that points FF, MM, DD, GG lies on a circle. https://cdn.artofproblemsolving.com/attachments/2/3/614ef5b9e8c8b16a29b8b960290ef9d7297529.jpg
Back to ProblemsView on AoPS