Footprints in the Sand: GeoGebra Transformational Geometry Exercise (G.GCO.2 & G

① This example simulates footprints on a sandy beach to visually demonstrate how geometric transformations such as translation and rotation affect the position and orientation of a figure in the plane. ② Core mathematical concepts include geometric transformations (translation, rotation, reflection), corresponding point trajectories, and composition of transformations, along with rational number coordinates and construction basics. ③ Construction highlights: Based on the summary, the example uses point objects A, B, and an image object pic1; GeoGebra transformation tools or commands (e.g., Translate, Rotate) are applied to the image along specified vectors or angles, creating a sequence of footprints, possibly with sliders to control transformation parameters. ④ Suitable for middle school to high school geometry classes (aligned with CCSS G.CO.2 and G.CO.4), this interactive resource helps students explore transformation properties, symmetry, and dynamic visualization, and can be used for teacher demonstrations or student-led inquiry.