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.