Exploring Rotations Around Points

① This example demonstrates the dynamic process of rotating a figure (such as a triangle) around a fixed point in the coordinate plane, visually showing the changes in position and shape before and after rotation. ② Core mathematical concepts include rotation transformation, center of rotation, rotation angle, coordinate transformation, and congruence of figures, bridging plane geometry and coordinate geometry. ③ Construction highlights: Based on the construction summary, point objects (C, A, B) are used as key vertices before and after rotation, and an image object (pic2) is introduced to assist visualization, likely with a slider controlling the rotation angle and using GeoGebra's rotation command or transformation tools for dynamic effects. ④ Suitable for middle school to high school students learning geometric transformations, and also for teachers demonstrating rotation intuitively in class, helping students understand that rotation preserves the size and shape of figures.