Center of Dilation (7) – Dynamic Demonstration of Dilation Transformation

This GeoGebra example dynamically demonstrates the concept of the center of dilation in a dilation (homothety) transformation. It shows how a figure, composed of points A, B, and an embedded image pic1, is scaled with respect to a given center, illustrating the relationship between original and image points, which lie on lines passing through the center. The core mathematical concept is dilation (central scaling), involving scale factor, collinearity of corresponding points with the center, and similarity. Construction highlights: using GeoGebra point objects A and B, and an image object pic1, the center of dilation is defined and can be dragged to observe changes in the scaled figure; commands include creating points and embedding images, possibly with sliders for dynamic adjustment. Suitable for middle-to-high school students learning geometric transformations, and for teachers to demonstrate the connection between dilation and similarity, enhancing spatial reasoning and transformation understanding.