Polygons Within Our World Using Geometer`s Sketchpad

Abstract

Students learned to construct polygons using Geometers Sketchpad. Using these constructions, students were able to infer the sum of the exterior angles of any polygon, the formula to find the sum of the interior angles of a polygon and the measure to each angle of any regular polygon. Students continued to explore polygons, this time considering their area with a constant perimeter restriction and how the area of a regular polygon relates to the area of a triangle inside the regular polygon which uses the center as a vertex.