Symmetry Challenge #7: Exploring Polygon Symmetry, Median, and Expected Value

This GeoGebra example demonstrates the construction of a symmetric polygon using basic geometric tools (Point, Line, Intersect, Polygon). It illustrates concepts of symmetry, median lines, expected value, the Pythagorean theorem, percentages, and conic sections in a unified visual framework. The construction employs objects such as A, B, a, C, D, b, etc., and commands like Line, Point, Intersect, and Polygon to create poly1 and other elements, enabling exploration of geometric properties and statistical relationships. It is suitable for high‑school and early‑college students studying geometry, symmetry, and interdisciplinary mathematical modeling.