Dilations: Interactive Geometric Scaling

①This GeoGebra example demonstrates the dilation (scaling) transformation of geometric figures, showing how shapes enlarge or shrink proportionally about a fixed center. ②Core mathematical concepts include dilation (homothety), scale factor, similarity, and the property that corresponding points lie on lines through the center. ③Construction: The summary lists objects f, a, g, h—likely f is the original figure (e.g., a parabola or surface), a is a slider controlling the scale factor, and g/h are the dilated images or auxiliary elements. The construction uses GeoGebra's dilation command or proportional scaling, with a slider for dynamic adjustment. ④Suitable for middle/high school geometry lessons on similarity and transformations, as well as introductory college courses in analytic geometry or computer graphics, serving as an interactive teaching aid.