MathDB
Putnam 1977 B2

Source:

April 7, 2022
college contests

Problem Statement

Given a convex quadrilateral ABCDABCD and a point OO not in the plane ABCDABCD, locate point AA' on line OA,OA, point BB' on the line OBOB, point CC' on line OC,OC, and point DD' on line ODOD so that ABCDA'B'C'D' is a parallelogram.