Inv 2.2C - Congruent Triangles

①This example constructs two triangles and their corresponding sides to visually demonstrate the concept of congruent triangles, showing that two figures have identical shape and size. ②Core mathematical concepts include the definition of congruence, equality of corresponding sides, and transformations such as rotation or translation that map one triangle onto another, with potential links to the Pythagorean theorem for side-length verification. ③Construction details: using GeoGebra's Point command to create vertices G, I, H and V, W, X, then Polygon command to form triangles poly1 and poly2, with segments (c, a, b, f, d, e) marking corresponding sides, and rotation tools to explore congruence dynamically. ④Suitable for middle school geometry lessons or self-study, this interactive example helps students investigate congruence criteria (e.g., SSS, SAS) and build intuition through hands-on manipulation.