GeoGebra Practice: Scaling and Unscaling

This example demonstrates how to scale (Scaling) and unscale (Unscaling) a geometric figure on the coordinate plane, showing how the figure’s size and position change with the scale factor and how the original configuration can be recovered. Key concepts include geometric similarity transformations, the scale factor, correspondence of points under dilation, and the coordinate mapping implied by dilation about a chosen center. Construction focus: create the scaled image by transforming the coordinates of defining points (e.g., vertices and key intersection points) and then obtain the unscaled figure using the inverse transformation (the reciprocal scale factor with the same center), allowing students to visually verify that scaling followed by unscaling returns the original shape. Suitable for middle to high school geometry transformation lessons and for students learning coordinate geometry and similarity through interactive GeoGebra activities.