Rhombus Edited: Dynamic Exploration of Sides, Diagonals, and Angles

① This example demonstrates a rhombus construction and editing, allowing dynamic adjustment of vertices to visually verify properties such as equal side lengths and perpendicular bisecting diagonals. ② Core mathematical concepts include the definition of a rhombus (all sides equal), diagonal properties, angle relationships (opposite angles equal, adjacent supplementary), and distance/angle measurement. ③ Construction details: using GeoGebra commands Segment to draw sides, Circle to construct equal-length segments, Intersect to find points, Distance and Angle to measure lengths and angles; objects include points A, B, C, D, E, segments f, c, d, g, h, i, j, multiple distance texts (e.g., distanceAD, distanceDB) and angle variables (α, β, γ, δ, ε), with text labels. ④ Suitable for middle school geometry or high school analytic geometry introduction, useful for exploring rhombus properties, verifying theorems, and serving as a template for dynamic geometry lessons.