Rigid Transformations in the Plane: A Geometry Construction Practice

This example demonstrates how rigid transformations in the plane preserve key properties of shapes—typically the distances and angles—by constructing and moving geometric configurations (e.g., a triangle) under controlled rotations/reflections. It centers on the core ideas of planar rigid motions, correspondence between original and transformed points, and invariance (side lengths and angle measures) during transformations. Construction-wise, the setup uses GeoGebra primitives such as Point and Polygon to create point objects A, B, C and control/parameter elements t1, c, a, b, then forms the polygonal figure whose transformed version is visualized through these controls. Suitable for middle and high school geometry lessons, enrichment activities, and self-study focused on transformation geometry and geometric construction.