Exploring Plane Dilation and Similarity Transformations

This GeoGebra example investigates planar dilation, demonstrating how a geometric figure is transformed from a center point O using a scale factor, and how the original figure and its image maintain similarity through proportional distances and collinear corresponding points. Core mathematical concepts include dilation, similarity transformations, scale factors, rational number ratios, rays, segments, and intersection points in Euclidean geometry. The construction relies on GeoGebra commands Segment, Intersect, Ray, Point, and Line, with objects A, B, a, O, b, c, C, f, and D used to define the center, rays, image points, and connecting lines. It is suitable for middle school geometry, high school similarity units, and introductory dynamic geometry instruction, supporting classroom demonstration and student-centered exploration of transformation geometry.