Abstract:
This article discusses the application of the Varignon's theorem to the parallelo-
hexagon by connecting the midpoints of the two sides which are close to the mid-
point of the two sides in front of them, so that they form a rectangle in the parallelo-
hexagon. The proof is described in three alternatives, using the concept of congru-
ence, geometrical transformation, and using parallelo-hexagon and parallelogram
point vertices. This article is a modi cation of the Varignon's theorem applied
to parallelo-hexagon from article of Villiers [The Mathematics Gazette, 96 (2012),
309-315]
