Rotating a Square: Interactive Vector and Transformation Demo

This GeoGebra example demonstrates the rotation of a square around a point, controlled by a slider, showing how a planar figure transforms under rotation. Core math concepts include 2D vectors, rotation transformations, polygon perimeter, and quadratic equations (possibly for vertex coordinates or side relations). Construction uses the Polygon command to create the original square poly1, the Zip command to generate vertex lists, and a slider w to control the rotation angle, producing the rotated square w_{2} while keeping the original for comparison. Suitable for middle or high school geometry classes and math labs, helping students grasp the geometric meaning of rotation, vector coordinate operations, and parametric construction in dynamic geometry.