Geometric Exploration of Set Intersection and Union (A∩B, A∪B)

This GeoGebra example demonstrates how set intersection and union can be visualized by testing whether a point lies inside one or more geometric regions. The key math ideas are set theory concepts—intersection (A∩B), union (A∪B), subset membership, and the role of the universal set—linked to geometric regions. Construction focuses on: Point and Random to create a test point (possibly randomized or controlled), Polygon to define the regions representing sets, and IsInRegion to decide membership in A, B, and their intersection/union conditions; Element is used to reference geometric objects in the logic. The included objects (e.g., inA, inB, inAB, outABinUni, universe, validate, btnCheck, textFeedback, correct flags) support interactive checking and immediate feedback. Suitable for middle and high school students, as well as for classroom activities that connect formal set operations with geometric interpretation.