Dilations of a Polygon: Interactive Geometric Scaling

① This GeoGebra example dynamically demonstrates the dilation (scaling) of a triangle about a fixed center point, showing how a polygon enlarges or shrinks proportionally. ② The core mathematical concept is dilation, a similarity transformation in geometry, involving scale factor, center of dilation, collinearity of corresponding points, and connections to matrix representation and centroid/barycenter. ③ Construction details: The Polygon command creates triangle poly1, and the Dilate command scales it about point P to produce the image triangle poly1' and its sides a', b', c', while retaining original objects A, B, C, P, and using parameter n to control the scale factor. ④ Suitable for middle-to-high school students learning geometric transformations, similarity, and introductory matrix operations; also useful for teachers demonstrating dilation properties interactively.