MathDB
segments joining arc midpoints are perpendicular

Source: Switzerland - Swiss TST 2000 p1

February 18, 2020
arc midpointperpendiculargeometry

Problem Statement

A convex quadrilateral ABCDABCD is inscribed in a circle. Show that the line connecting the midpoints of the arcs ABAB and CDCD and the line connecting the midpoints of the arcs BCBC and DADA are perpendicular.