Transformations: Translations of Polygons and Solids

This GeoGebra example dynamically demonstrates the translation transformation of geometric objects such as polygons and cylinders in a plane. The core mathematical concept is translation, where every point of a figure moves the same distance in the same direction, preserving shape and size. The construction uses the Polygon command to create polygon poly1 with vertices A, B, C, and their images A', B', C' to form the translated polygon poly2. It also involves translating a cylinder and a cuboid, with horizontal and vertical translation vectors. Suitable for middle school and above to explore geometric transformations, and for teachers to illustrate properties like parallel and equal segments connecting corresponding points, and congruence of figures.