Vector Translation of a Polygon

①This GeoGebra example demonstrates the translation of a polygon along a given vector, showing both the original and translated figures with corresponding vertices, edges, and labels. ②The core mathematical concepts are plane vectors and translation transformations, including vector representation, geometric meaning of translation, and invariance of shape, size, and orientation under translation. ③Construction details: use the Polygon command to create the original polygon, the Vector command to define the translation vector, and the Translate command to move the polygon; text objects label the vector and vertices for clear correspondence. ④It is suitable for middle school to high school students learning plane vectors and geometric transformations, and for teachers to visually illustrate vector translation and its coordinate operations.