Restoring a triangle
Source: Sharygin geometry olympiad 2016, grade 10, Final Round, Problem 7.
August 5, 2016
constructionsymmedian pointCircumcentergeometrycircumcirclegeometric transformationreflection
Problem Statement
Restore a triangle by one of its vertices, the circumcenter and the Lemoine's point. (The Lemoine's point is the intersection point of the reflections of the medians in the correspondent angle bisectors)