A Translation and a Translation: Sequential Polygon Translation

①This GeoGebra example demonstrates the effect of applying two successive translations to a polygon, showing how the shape moves along given vectors. ②Core mathematical concepts include translation transformations in plane geometry, vectors, polygons, perimeter, and basic linear equations; the tags also mention boxplot and stochastic process, suggesting possible extensions to statistics or random contexts. ③Construction highlights: using the Polygon command to create polygon poly1, the Vector command to define translation vectors u and v, and the Translate command to translate the polygon and its edges, producing translated copies poly1' and poly1'' while retaining original vertices A, B, C, D. ④Suitable for middle/high school geometry or introductory linear algebra, this example helps students grasp the geometric meaning of translation, vector addition, and composition of transformations, and can serve as dynamic courseware.