TS.3 Dilations Create Similar Figures #4

This example demonstrates how a dilation maps a polygon to a similar polygon, visually illustrating the generation of similar figures. The core mathematical concepts include dilation, scale factor, similar polygons, and the property that corresponding points are collinear with the center of dilation and distances are proportional. Construction highlights: using GeoGebra's Polygon command to create the original polygon (vertices A, B, C, D, etc.) and then applying a dilation to produce the image polygon (poly2). Objects involved include polygons poly1 and poly2, segments a, b, c, d, e, f, and possibly conic sections or piecewise functions as auxiliary elements. Suitable for upper middle school or high school geometry lessons on similarity transformations and centers of dilation, and for dynamic exploration of how scale factor affects shape and size.