Geometric Construction for SSS Congruence with Mirror Correspondence

This GeoGebra example visually demonstrates how the SSS congruence theorem works: when two triangles have three corresponding sides equal, their configurations become congruent and the corresponding vertices and edges can be matched using geometric construction, including mirror (reflection-like) correspondence to verify alignment. The key mathematical ideas are the SSS congruence theorem, triangle correspondence, midpoint/barycenter-related construction cues, and geometric transformations (reflection as an observation tool). Construction-wise, it uses GeoGebra commands Point, Segment, Ray, Circle, Intersect, and Midpoint: Point/Segment/Ray create the initial framework, Circle together with Intersect determines candidate vertices that satisfy distance constraints, and Midpoint generates auxiliary points that support the congruence verification (e.g., midline/centroid-related structure). The example is intended for middle and high school geometry instruction, proof-and-construction practice, and classroom visualization for exploring why side equalities force full triangle congruence.