Let D be the midpoint of the side BC of a triangle ABC. Let M be a point on the side BC such that ∠BAM=∠DAC. Further, let L be the second intersection point of the circumcircle of the triangle CAM with the side AB, and let K be the second intersection point of the circumcircle of the triangle BAM with the side AC. Prove that KL∥BC. geometrycircumcirclegeometric transformationreflectionratioangle bisectorgeometry proposed