Problem #PRU-57975

Problems Geometry Plane geometry Plane transformations Similarity Homothetic transformations, rotations of homothetic transformations

Problem

Two circles touch at point \(K\). The line passing through point \(K\) intersects these circles at points \(A\) and \(B\). Prove that the tangents to the circles drawn through points \(A\) and \(B\) are parallel.