Translation (Slider)

This GeoGebra example demonstrates the translation of a plane polygon controlled by sliders. The core mathematical concept is geometric transformation, specifically translation, involving vectors, coordinate changes, and congruence of shapes. Construction highlights: the Polygon command creates the original polygon poly1 with vertices A, B, C, D; sliders 'horizontal' and 'Vertical' control the shift; the translated polygon poly2 with vertices A', B', C', D' and edges a', b', c', d' is generated; text objects (text1 to text7) display coordinates or labels; auxiliary segments e, f, g, h visualize the translation vector. Suitable for middle school to high school students learning geometric transformations, and useful for teachers to demonstrate how translation preserves shape and size while moving by a given vector.