Dilations - Size: Scaling a Triangle by a Factor

① This GeoGebra example demonstrates the dilation (scaling) of a triangle about a fixed center, showing how the image triangle enlarges or shrinks according to a scale factor. ② The core mathematical concept is homothety (central similarity), involving the scale factor, center of dilation, proportional side lengths, and similarity of triangles. ③ Construction details: The original triangle ABC is created using the Polygon command; the image triangle A'B'C' is generated via the Dilate command with a specified center and scale factor; Segment and Distance commands measure corresponding side lengths (e.g., AB vs A'B'), and text objects display these distances for direct comparison. ④ Suitable for middle school geometry or introductory high school coordinate geometry, useful for exploring similarity transformations, proportional reasoning, and dynamic slider-controlled parameter changes.