MathDB
conctruct line to a parallelogram such that folded you can create a rhombus

Source: 2009 Oral Moscow Geometry Olympiad grades 8-9 p1

September 19, 2020
geometryparallelogramrhombusConstruct

Problem Statement

The figure shows a parallelogram and the point PP of intersection of its diagonals is marked. Draw a straight line through PP so that it breaks the parallelogram into two parts, from which you can fold a rhombus. https://1.bp.blogspot.com/-Df2tIBthcmI/X2ZwIx3R4vI/AAAAAAAAMhQ/8Zkxfq30H8MSCdc66tm33n6jt-QKfGMowCLcBGAsYHQ/s0/2009%2Boral%2Bmoscow%2Bj1.png