concyclic projections wanted, inside a cyclic quadrilateral
Source: 2008 Oral Moscow Geometry Olympiad grades 8-9 p4
October 13, 2020
geometryConcyclicprojectionscyclic quadrilateral
Problem Statement
A circle can be circumscribed around the quadrilateral . Point is the foot of the perpendicular drawn from point on line , and respectively from on , from on and from on . Prove that points and lie on the same circle.(A. Myakishev)