Dilation: Introducing the Terms

① This example demonstrates the basic terminology and visual effect of a dilation transformation by showing a polygon and its dilated image. ② The core mathematical concept is homothety (dilation), involving the center of dilation, scale factor, corresponding points and sides, and the similarity between the original and transformed figures. ③ Construction highlights: the Polygon command creates the original polygon, and the Dilate command generates the dilated polygon with a specified center (e.g., point F) and scale factor; the object list includes original vertices A, B, C, D, E and their images A', B', C', D', E', along with text labels text1 through text5 for annotating terms. ④ Suitable for middle school to high school students learning geometric transformations, and useful for teachers to illustrate the definition, properties, and notation of dilation in class.