Parallelogram Area: Dynamic Cut-and-Paste Demonstration

①This GeoGebra example dynamically demonstrates the area of a parallelogram by using a cut-and-paste (dissection) method, transforming the parallelogram into a rectangle to visually verify the area formula. ②Core mathematical concepts include properties of parallelograms, area formula (base × height), geometric transformations (translation, rotation), and conservation of area. ③Construction highlights: uses Line, OrthogonalLine to create parallel and perpendicular lines, Intersect for points, Angle for angle marking, Point, Vector, Translate for moving parts, Polygon, Segment for shapes, Midpoint for midpoints; Move and sliders control the dynamic dissection, showing area invariance. ④Suitable for middle school geometry or high school review, helping students understand the origin of the area formula, and useful for classroom demonstrations or self-study.