Triangle Congruence Project

① This example dynamically constructs two triangles and their corresponding vertices, sides, and reflections to visually demonstrate the criteria and properties of triangle congruence. ② Core mathematical concepts include triangle congruence (SSS, SAS, ASA, etc.), reflection (axial symmetry) transformations, the relationship between similarity and congruence, and the auxiliary use of linear regression and statistics in geometric verification. ③ Construction highlights: using GeoGebra's Polygon command to create triangle ABC and its reflected triangle A'B'C', involving objects such as vertices A, B, C, sides a, b, c, reflection lines t1 and t2, auxiliary function f, and lines d and e; dragging vertices allows exploration of how congruence conditions change. ④ Suitable for middle school geometry classes or self-study, for investigating congruence theorems, reflection symmetry, and combining statistical tools for geometric data validation, also serving as a template for project-based learning.