Rectangle Classification and Quadrilateral Exploration

This GeoGebra example dynamically demonstrates the conditions for a rectangle and its relationships with parallelograms, rhombi, squares, and trapezoids. Core mathematical concepts include quadrilateral properties, diagonal properties (equal, bisecting, perpendicular), parallel and perpendicular relations, and classification logic based on side lengths and angles. Construction highlights: using commands like Sort, Element, and If to sort triangle sides and determine triangle types; objects such as diagBisect, diagCongruent, and diagPerpendicular test diagonal properties; opp1Parallel and opp2Parallel check opposite side parallelism; conditional statements then classify the quadrilateral as rectangle, rhombus, square, etc. Suitable for middle school geometry teaching, this example helps students intuitively understand quadrilateral classification theorems and can be used for inquiry-based learning.