Are All Rectangles Similar? — Dynamic Geometry Exploration

①This example constructs several rectangles with different aspect ratios to visually demonstrate that not all rectangles are similar, prompting investigation into the criteria for similarity. ②Core mathematical concepts include the definition of rectangles, similarity of polygons (corresponding angles equal and corresponding sides proportional), ratio and fractions, and the relationship between general quadrilaterals and special quadrilaterals. ③Construction details: Using GeoGebra commands Polygon and Angle, four rectangles (poly1 to poly4) are created, with points A through P and sides a through p controlling dimensions; text objects text1 to text4 display side lengths or ratios for comparison. ④Suitable for upper middle school or high school geometry classes, this resource helps distinguish similarity from congruence and serves as inquiry-based learning material for understanding the rigorous definition of similar figures.