SAS Congruence Demo: Constructing Congruent Triangles with GeoGebra
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Similarity and Congruence Year 8 Pedagogies in Practice
This GeoGebra example demonstrates side-angle-side (SAS) congruence by constructing a triangle congruent to a given one through copying two sides and their included angle. It covers triangle congruence, angle measurement, segment length, circle-based construction, and rotation. The construction uses Line, Segment, Circle, Intersect, Angle, Rotate, and Distance commands, with objects such as AC, AD, CAD, β, D'_1, and distanceCD to verify copied lengths and angles. Suitable for middle-school or high-school geometry lessons, congruence proofs, and GeoGebra construction demonstrations.
GeoGebra Commands & Parameters
Line(A, B) → aCircle(A, AD) → cIntersect(c, a, 2) → DSegment(A, D) → bCircle(A, AC) → eRotate(D, CAD°, A) → D'_1Angle(D, A, D'_1) → βLine(A, D'_1) → dCircle(A, AC) → fIntersect(f, d, 2) → CSegment(C, D) → gSegment(A, C) → hDistance(C, D) → distanceCD