Activity 3: Translation Symmetry

This GeoGebra activity demonstrates translation symmetry by using a vector to translate polygons (such as a cuboid or triangle), showing that the translated figure remains congruent and preserves orientation. Core mathematical concepts include translation symmetry, vectors, linear functions, linear equations, and inequalities used to define regions or constraints. Construction highlights: the Vector command creates translation vector u, the Polygon command builds base polygons, and vertices (A, B, C, D, E, F) are generated via translation. Linear functions f, d, e and inequality t1 help define boundaries or auxiliary conditions. Suitable for middle school to high school students learning geometric transformations, vectors, and function graphing, as well as for teachers demonstrating translation symmetry interactively.