Dilations of Polygons - Dynamic GeoGebra Demonstration

① This GeoGebra example dynamically demonstrates the dilation (scaling) of polygons in the plane, where shapes are enlarged or reduced relative to a center point by a scale factor. ② Core mathematical concepts include dilation transformation, similar polygons, scale factor, center of dilation, and vector scaling; it also touches on set theory, binomial distribution, and expected value as tags but the main focus is geometric transformation. ③ Construction highlights: uses Vector, Segment, and Polygon commands to build the original and transformed shapes, with FractionText to display the scale factor; objects include A, b, m, M, s, D, w, C, v, B, u, a, J, n, poly1, and multiple auxiliary points and polygons poly2, poly3. ④ Suitable for middle and high school geometry classes to visualize properties of dilations, similarity ratios, and the role of the center, as well as for introductory computer graphics or college geometry.