MathDB
BMT 2013 Spring - Geometry P2

Source:

December 29, 2021
geometry

Problem Statement

From a point AA construct tangents to a circle centered at point OO, intersecting the circle at PP and QQ respectively. Let MM be the midpoint of PQPQ. If KK and LL are points on circle OO such that K,LK, L, and AA are collinear, prove MKO=MLO\angle MKO = \angle MLO.