Exploring Rotations in the Coordinate Plane (Part 4)

This GeoGebra example demonstrates how to build and visualize geometric correspondences on the coordinate plane using rotations and related transformations. It highlights the observable relationship between a figure before and after rotation by a specified angle around a chosen center, making the transformation feel concrete and interactive. The key mathematics includes geometric transformations—especially rotation—together with vector-based positioning, translation, and the role of angle parameters. Construction is carried out with GeoGebra commands such as Vector and Translate for directed positioning, Rotate for the central rotation action, and CircleArc, Circle, Line, and Intersect to create arcs, circles, lines, and their intersection points. Additional tools like Mirror and Dilate support symmetry and scaling-based auxiliary constructions, while Textfield is used to label and control parameters (angles such as α, β, γ). The target audience is middle and high school learners studying coordinate geometry and transformation geometry, as well as anyone using GeoGebra for interactive construction practice.