Rotation Station: Exploring Rotation Transformations and Center Effects

This interactive GeoGebra example demonstrates the rotation transformation of plane figures, focusing on how the position and orientation of the rotated image change when the center of rotation is placed inside, outside, or on the boundary of the original shape. Key mathematical concepts include rotation angle, center of rotation, locus of corresponding points, and rotational invariance (congruence). Construction details: using GeoGebra commands such as Polygon, Circle, Point, CircleSector, Angle, Rotate, and CircleArc, the example builds a polygon, circle, sector, and their rotated copies, with sliders or dynamic points controlling the angle and center to animate the motion of primed points like A', B', C'. Suitable for middle school to high school students learning geometric transformations, and useful for classroom demonstrations or self-guided exploration of rotation properties.