A Hexagon Result and its Generalization via Proof

Authors

Michael de Villiers

Volume

4

Issue

2

Abstract

This paper presents the discovery of a hexagon result on Geometer’s Sketchpad and its generalization via proof for any 2n-gon. The result is : If ABCDEF is a hexagon with opposite sides parallel (not necessarily equal), then the respective centroids G, H, I, J, K and L of triangles ABC, BCD, CDE, DEF, EFA and FAB, form a hexagon with opposite sides both equal and parallel.

First Page

188

Last Page

192

Recommended Citation

de Villiers, Michael (2007) "A Hexagon Result and its Generalization via Proof," The Mathematics Enthusiast: Vol. 4 : No. 2 , Article 5.
DOI: https://doi.org/10.54870/1551-3440.1070
Available at: https://scholarworks.umt.edu/tme/vol4/iss2/5

Digital Object Identifier (DOI)

10.54870/1551-3440.1070