Area of a Parallelogram: A Visual Construction
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① This GeoGebra example demonstrates the area of a parallelogram through an interactive construction, visually confirming that area equals base times height. ② Core mathematical concepts include parallelogram area, congruent triangles, isosceles triangles, and geometric constructions involving area equivalence. ③ Construction details: using commands such as Intersect, Point, Polygon, and Segment, the example defines vertices A, B, C, D and sides a, b, c, d to form parallelogram q1, then introduces auxiliary points E, F, G, H and segments base, height, f, g to mark the base and height, with text1 displaying the computed area. ④ Suitable for middle school or high school geometry lessons, this resource helps students grasp the area formula derivation and explore relationships between parallelograms and triangles.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APoint(xAxis) → BPolygon(A, B, C, D) → q1, a_1, b, c, dPoint(yAxis) → ESegment(E, F) → baseSegment(A, D) → fSegment(D, C) → gPoint(xAxis) → GSegment(G, H) → height