Rectangle, Rhombus, Square: Geometric Construction and Classification

①This GeoGebra example dynamically demonstrates the construction of three special parallelograms—rectangle, rhombus, and square—highlighting their relationships and differences. ②Core mathematical concepts include properties of parallelograms, side-angle relationships, diagonal characteristics, and classification criteria for special quadrilaterals, along with geometric construction and transformations. ③Construction details: The Polygon command is used to create three quadrilaterals (q1, q2, q3) representing the rectangle, rhombus, and square; Segment commands construct sides and diagonals (e.g., a, b, c, d, e, f), while point objects (A through L) mark vertices; translation and vector tools illustrate connections between shapes. ④Suitable for middle and high school students learning plane geometry, this example serves as a visual aid for classroom demonstrations or self-study, helping learners understand the properties and criteria of special quadrilaterals, and can also be a reference for teachers creating instructional materials.