Rhombus: Geometric Construction and Properties

① This GeoGebra example demonstrates the step-by-step construction of a rhombus, visually illustrating its defining properties such as equal side lengths and perpendicular bisecting diagonals. ② Core mathematical concepts include the definition of a rhombus, polygon properties, diagonal relationships, and coordinate geometry involving points, lines, circles, and intersections. ③ Construction details: Using GeoGebra commands Circle, Line, Point, Intersect, and Polygon, the construction starts with points A and B, draws a circle c centered at A, picks point C on the circle, finds intersection D, and finally forms polygon q1 (the rhombus) with sides a, b, d and diagonal c_1. ④ Suitable for middle school geometry classes or high school introductory coordinate geometry, this interactive model allows students to drag vertices and observe how the rhombus properties remain invariant, serving as an excellent teaching aid and construction practice example.