Exploring SSS Triangle Congruence

This GeoGebra example demonstrates the Side-Side-Side (SSS) triangle congruence theorem by constructing two triangles whose corresponding side lengths are equal. The core mathematical concepts include triangle congruence, the SSS congruence criterion, segment length measurement, corresponding interior angles, and polygon construction. According to the construction summary, the figure is built using the Point command to define vertices A, B, and C; the Segment command to draw sides AB, BC, and AC with measured lengths LengthAB, LengthBC, and LengthAC; the Polygon command to create triangle poly1; and the Angle command to label interior angles α, β, and γ. A second triangle with corresponding sides a₁, b₁, c₁ is constructed for side-by-side comparison and congruence verification. This resource is suitable for middle school geometry lessons, congruent-triangle review sessions, and student-centered exploration, serving as a teacher demonstration tool or interactive learning material.