Rhombus with Diagonals Construction

① This GeoGebra example demonstrates how to construct a rhombus and visualize its diagonal properties, specifically that diagonals are perpendicular bisectors of each other and bisect the vertex angles. ② Core mathematical concepts include the definition of a rhombus (all sides equal), properties of diagonals, perpendicular bisectors, angle bisectors, and geometric measurements (distances and angles). ③ Construction steps: use the Segment tool to create side AB, apply LineBisector to construct perpendicular bisectors, use Circle and Intersect to determine vertices C and D, then employ Angle and Distance tools to measure diagonal angles and side lengths. Key objects include points A, B, C, D, E, segments f and g, circle c, angles α, β, γ, δ, ε, and distance variables. ④ Suitable for middle school geometry or high school coordinate geometry, ideal for verifying rhombus diagonal properties interactively and as a starting point for dynamic geometric exploration.