Observing Coordinate Changes Under Rotations

This example demonstrates how the coordinates of a polygon's vertices change when the polygon undergoes a rotation in a 2D plane. Key mathematical concepts include coordinate geometry, rotational transformations, trigonometric functions, and matrix operations. The construction uses GeoGebra commands Polygon and Intersect, along with objects A, B, C (vertices), t1 (rotation angle), c, a, b (auxiliary variables), and D (intersection point). It is suitable for high school students and teachers to understand the relationship between rotational transformations and coordinate systems, as well as the application of matrices in geometric transformations.