Activity 2: Messing With Mona: Introduction to Transformations

① This example demonstrates how geometric transformations—translation, rotation, reflection, and dilation—affect the position and shape of a picture (the Mona Lisa) in an interactive GeoGebra environment. ② Core mathematical concepts include geometric transformations, composition of transformations, and the relationships between corresponding points before and after each transformation. ③ Construction details: Based on the summary, the construction uses GeoGebra commands such as Vector, Translate, Rotate, Mirror, and Dilate, along with auxiliary objects like CircleArc, Circle, Line, Textfield, and a button (button1) for interactivity. The objects include the original image pic1 and its transformed copies (pic1', pic1'_2, etc.), as well as multiple points, segments, and angle markers. ④ This activity is suitable for middle school to high school students learning about geometric transformations, serving as an exploratory lesson to visualize and understand the properties of each transformation, and can also be used by teachers for classroom demonstrations.