Transforming with Coordinates: Polygons and Orthocenter Exploration

This GeoGebra example demonstrates how coordinate transformations affect polygons and related geometric elements such as the orthocenter. It focuses on coordinate geometry, polygons, orthocenters, right triangles, and sequences/series patterns. The construction uses the Polygon command to create a polygon with points A, B, C, D, H and segments a, b, c, d, allowing users to apply transformations (translation, rotation, scaling) and observe changes in properties. Suitable for middle-to-high school students learning coordinate geometry and transformations, it serves as an interactive tool for classroom demonstrations or self-study, bridging algebraic coordinates with visual geometric reasoning.