Triangle Congruence via SSS: Verifying Correspondence from Three Side Lengths

This example demonstrates how to construct two triangles and verify triangle congruence using the SSS criterion (side–side–side). The key math ideas are the SSS congruence theorem, correspondence of elements (matching sides and matching angles), and the use of metric constraints to ensure an exact geometric relationship. In construction terms (with no specific GeoGebra commands provided in the original summary), the workflow is to: (1) define a first triangle either by fixed endpoints or by prescribed side lengths; (2) rebuild a second triangle so that its three sides match the first triangle’s corresponding side lengths (by using geometric construction steps that “construct a triangle with given side lengths” or constrain points to satisfy those lengths); and (3) confirm congruence by measuring/visualizing corresponding angles and/or checking for a consistent overlay under the imposed constraints. Suitable for middle-school geometry instruction and practice—especially for learning congruence criteria and experimenting with geometric verification in GeoGebra.