Activity 9: Create Your Own Rotation

① This example demonstrates how to construct a rotation of a geometric figure independently in GeoGebra, observing the changes in position and orientation before and after rotation. ② Core mathematical concepts include geometric transformations such as rotation, along with dilation, 3D vectors, and correlation, involving transformations of points, segments, and polygons. ③ Construction highlights: From the construction summary, the Segment command is used to create multiple segment objects (e.g., A, B, C, D, E), and repeated rotations generate primed points (A', B', C', etc.) and double-primed points (A'', B'', etc.), resulting in three sets of rotated figures; objects include points, segments, and auxiliary elements named f, g, h, i, j, k, reflecting a step-by-step construction and transformation process. ④ Suitable for middle or high school geometry lessons or student self-exploration of rotation properties, and for teachers to demonstrate dynamic geometric transformations, helping students understand rotation center, rotation angle, and corresponding point relationships.