270° CCW Rotation of a Polygon: Geometric Transformation

This example demonstrates a rigid transformation in the plane by rotating a constructed polygon 270° counterclockwise around a specified center. It visually highlights the point-to-point correspondence between the original vertices and their rotated images, emphasizing how the figure changes position while preserving the transformation structure. The key concepts are geometric rotation, counterclockwise orientation, angle measurement, and the behavior of polygons under rigid motions. Construction-wise, it uses the Polygon command to build the original polygon from points such as A, B, C (and related parameters like t1, c, a, b), then applies the Rotate command to generate the rotated points/labels (A', B', C', t1', c', a', b'). Text annotations (text1, text2) help present the rotation information. Suitable for middle and high school geometry lessons, especially when introducing or reviewing transformations and their graphical interpretation.