eJMT Abstract

Title Surprising Geometrical Properties that are Obtained by Transforming any Quadrilateral into a Lattice
Author Ruti SEGAL, Moshe STUPEL and Avi SIGLER
Volume 11
Number 1

The article presents an interesting study of properties existing at any quadrilateral when it develops as a lattice consisting of sub-quadrilaterals with common properties along its rows and columns. Among the properties: quadrilaterals’ areas representing arithmetic progression, parallel sections with equal lengths. The study was accompanied by D.G.S. computerized technology. For every property, a mathematical proof of the theorems was given at a level understandable by high school students.