Translation on the Plane

① This GeoGebra example dynamically demonstrates the translation transformation on a plane, showing how a polygon moves as a whole under a given vector. ② The core mathematical concept is translation in plane geometry, involving vectors, corresponding points, corresponding sides, and the congruence between the original and translated figures. ③ Construction highlights: using GeoGebra commands such as Intersect, Ray, Vector, Polygon, and Translate, the example constructs the original polygon poly1 and its translated image poly1', along with translation vectors u and v, corresponding points A', B', C', D', and a text label text1 for explanation. ④ It is suitable for middle school to high school students learning geometric transformations, and for teachers to demonstrate properties of translation, such as corresponding points connected by parallel and equal segments, and the preservation of shape and size, helping to understand the relationship between vectors and coordinates.