parallel lines inside a parallelogram, incircle related
Source: Czech And Slovak Mathematical Olympiad, Round III, Category A 2013 p3
February 13, 2020
geometryparallelogramincircleparallel
Problem Statement
In the parallelolgram A with the center , let be the center of the circle of the inscribed triangle and let be the touch point with the diagonal . Prove that the lines and are parallel.