Rotations: Demonstrating Geometric Rotation with GeoGebra

This GeoGebra example interactively demonstrates the geometric transformation of rotation, showing how a figure rotates around a fixed point to produce a new image with corresponding relationships. The core mathematical concept is rotation in geometry, involving the center of rotation, rotation angle, correspondence between points and segments, and the property that rotation preserves congruence. Construction highlights include using the Circle command to draw auxiliary circles centered at the rotation center, Segment to connect key points, Rotate to transform points or figures, and Angle to label the rotation angle. Objects include points B, C, D, O, segments a, c, b, the rotated point B', and multiple text labels (text1, text2, etc.) for annotations. This example is suitable for middle or high school geometry lessons on transformations, useful for teacher demonstrations or student exploration of rotation properties such as the relationship between rotation angle and corresponding point positions.