Rhombus Project: Dynamic Geometry with Circles and Lines

This GeoGebra example demonstrates how to construct a dynamic rhombus using circles, segments, and lines, and explores its connections with ellipses, parabolas, and polynomial functions. Core mathematical concepts include rhombus properties (perpendicular bisecting diagonals, parallel opposite sides), circle tangents, line-circle intersections, slope calculations, and rational numbers. Construction details: using GeoGebra commands Segment, Circle, Point, Line, Intersect, and Slope, the objects A, B, f, c, C, g, h, i, D, j, k, m, m_1, m_2, m_3, l, n are created. By dragging points or adjusting parameters, learners can observe how the rhombus changes and how it relates to function graphs. Suitable for middle or high school geometry classes and exploratory math activities, helping students bridge geometric construction and algebraic representation.