Square Classification and Determination Interactive Geometry

This GeoGebra example demonstrates how to determine whether a quadrilateral is a square based on side lengths, diagonals, and parallel relationships, while simultaneously displaying its position within the quadrilateral classification hierarchy. Core mathematical concepts include the definition of a square (all sides equal and all angles 90°), its determination conditions (diagonals equal, perpendicular, and bisecting each other; opposite sides parallel), and the logical relationships among quadrilaterals (parallelogram, rectangle, rhombus, trapezoid, kite). Construction highlights: the Sort and Element commands are used to order three side lengths for triangle type detection, and If conditional statements combine diagonal properties (diagBisect, diagCongruent, diagPerpendicular) and opposite-side parallelism (opp1Parallel, opp2Parallel) to generate text labels (quadText, triText, etc.) that update in real time. This is suitable for middle school geometry teaching, helping students intuitively understand quadrilateral determination theorems and classification logic, and can also be used for inquiry-based learning.