MathDB
Cyclic Quadrilateral

Source: Romanian Maters 2017 D2 P3

February 25, 2017
geometrycyclic quadrilateralRMMRMM 2017

Problem Statement

Let ABCDABCD be any convex quadrilateral and let P,Q,R,SP, Q, R, S be points on the segments AB,BC,CDAB, BC, CD, and DADA, respectively. It is given that the segments PRPR and QSQS dissect ABCDABCD into four quadrilaterals, each of which has perpendicular diagonals. Show that the points P,Q,R,SP, Q, R, S are concyclic.
Back to ProblemsView on AoPS