Transformation - Translation: Triangle and Its Image

① This GeoGebra example demonstrates the translation of a triangle, showing how the entire shape moves uniformly while preserving its size and orientation. ② The core mathematical concept is the translation transformation in plane geometry, emphasizing the role of direction and distance (vector) in shifting a figure, and the congruence between the original and its image. ③ Construction details: The original triangle is built using the Polygon command with vertices A, B, C (object poly1). Horizontal and Vertical vectors are defined to control the translation, producing corresponding points A', B', C' and the image triangle poly2. Edges (a_1, b_1, c', etc.) are retained for visual comparison. ④ Suitable for middle school geometry lessons or introductory high school vector studies, this example helps students grasp coordinate-based translation, congruence properties, and dynamic exploration of translation parameters.