Balanced Moves Practice: Interactive Geometry and Function Graphs

This example demonstrates an interactive exploration of balanced moves, combining geometric objects with function graphs to investigate mathematical relationships. The core concepts include squares, orthocenters, function graphs, step functions, and inequalities, all interconnected within a dynamic geometry environment. The construction uses GeoGebra to create multiple points (such as A2, B1, C2, etc.), which likely define a square, construct an orthocenter, or plot function graphs, allowing users to observe changes as points move. It is suitable for middle or high school students to practice geometric constructions, understand function graphs, and solve inequalities, and can serve as a classroom demonstration or self-study material.