What is Dilation? An Interactive GeoGebra Demonstration

①This GeoGebra example dynamically demonstrates the concept of dilation (homothety), showing how a figure is enlarged or reduced with respect to a fixed center and a scale factor.②The core mathematical concepts include dilation transformation, vectors, similarity, area scaling, and relationships among geometric objects; the presence of parallelograms, complex numbers, and pyramids indicates broad applications.③Construction highlights: the Dilate command is applied to points A, B, and other objects, with vectors u, v, w controlling direction and scale; multiple images (pic1~pic4) and their dilated images (pic2', pic1') are used, along with text labels (text1, text2, etc.), making the example rich for interactive exploration.④This is suitable for middle school geometry or introductory college transformation courses, helping learners understand the definition and properties of dilation (e.g., collinearity of corresponding points with the center, area ratio equal to the square of the scale factor) and its use in real shapes like parallelograms and pyramids. It serves as a classroom demonstration or a self-study tool.