Checking Congruence of Two Figures via Transformations

This example demonstrates how to determine whether two polygons are congruent by identifying the geometric transformations—such as translation, rotation, reflection, and dilation—that map one figure onto the other. The core mathematical concepts include congruence, the criteria for triangle congruence, and vector-based transformations. The GeoGebra construction uses the Dilate command for scaling, the Polygon command to create shapes, the Vector tool to represent direction and magnitude, and the Translate command for sliding the figure, with sliders controlling the transformation parameters. It is suitable for high‑school geometry classes and for activities introducing mathematical modeling.