Problem #PRU-57976

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

Problem

Two circles \(c\) and \(d\) are tangent at point \(B\). Two straight lines intersecting the first circle at points \(D\) and \(E\) and the second circle at points \(G\) and \(F\) are drawn through the point \(B\). Prove that \(ED\) is parallel to \(FG\).