MathDB
Polygon remains non-rigid

Source: Kvant Magazine No. 6 2020 M2608

March 9, 2023
geometrypolygonKvant

Problem Statement

A hinged convex quadrilateral was made of four slats. Then, two points on its opposite sides were connected with another slat, but the structure remained non-rigid. Does it follow from this that this quadrilateral is a parallelogram?
Proposed by A. Zaslavsky
[img width="40"]https://i.ibb.co/dgqSvLQ/Screenshot-2023-03-09-231327.png