Quad Project: Rhombus Construction and Angle Analysis

① This example demonstrates how to construct a rhombus in GeoGebra and investigate the relationships among its sides, diagonals, and angles. ② Core mathematical concepts include the definition of a rhombus (all sides equal), properties such as perpendicular bisecting diagonals, equal opposite angles, and supplementary adjacent angles, verified through angle measurement. ③ Construction highlights: based on the summary, the Polygon command creates quadrilateral poly1, Segment commands generate sides a,b,c,d and diagonals e,f, Intersect finds diagonal intersection E, Angle marks α,β,γ, and Midpoint determines midpoints; objects include points A,B,C,D,E,F,G,H,I and segments k,l,m,n, showcasing a complete geometric construction workflow. ④ Suitable for middle school geometry lessons or student self-exploration, this example helps visualize rhombus properties and serves as an introductory GeoGebra exercise covering polygons, segments, intersections, angles, and midpoints.