An interesting theorem related to a hexagon with opposite sides that are parallel

• Michael de Villiers ^[1]
  1. [1] University of Stellenbosch
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 52, Nº. 1, 2021, págs. 155-163
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • It’s often useful extending students beyond the limiting geometry of triangles and quadrilaterals to regularly consider generalizations of results for triangles and quadrilaterals to higher order polygons. A brief heuristic description is given here of the author applying this strategy, and which led to an interesting result related to the perpendicular bisectors of a hexagon with opposite sides parallel, and a rather novel proof. It provides a nice challenge and exploration for students to investigate using dynamic geometry.