SSS Congruence: Constructing Triangles with Three Pairs of Equal Sides

This example demonstrates how to construct two congruent triangles using the Side-Side-Side (SSS) congruence criterion, where all three pairs of corresponding sides are equal. The core mathematical concept is the SSS triangle congruence theorem, which states that if three sides of one triangle are respectively equal to three sides of another, the triangles are congruent. Construction details: using GeoGebra commands Point and Segment, points A, B, C, D, E, F, G are created, and segments f, g, h, i, j, k are drawn to form two triangles. By adjusting side lengths so that each pair of corresponding sides matches, the SSS condition is visually verified. This is suitable for middle school geometry lessons, helping students grasp triangle congruence criteria and dynamically explore the sufficiency of the SSS theorem.