line of isotomic of incircle touchpoints in equilateral is tangent to incircle
Source: 2012 Oral Moscow Geometry Olympiad grades 8-9 p3
September 8, 2019
geometryisotomicmidpointincircletangent
Problem Statement
Given an equilateral triangle and a straight line , passing through its center. Intersection points of this line with sides and are reflected wrt to the midpoints of these sides respectively. Prove that the line passing through the resulting points, touches the inscribed circle triangle .