MathDB
TOT 169 1988 Spring J2 BK passes through circumcenter

Source:

May 9, 2020
geometryCircumcentersymmetry

Problem Statement

We are given triangle ABCABC. Two lines, symmetric with ACAC, relative to lines ABAB and BCBC are drawn, and meet at KK . Prove that the line BKBK passes through the centre of the circumscribed circle of triangle ABCABC.
(V.Y. Protasov)