Parallelogram Diagonals Exploration

This GeoGebra example dynamically demonstrates that the diagonals of a parallelogram bisect each other and divide the parallelogram into four triangles of equal area. Core mathematical concepts include parallelogram properties, diagonal bisection, congruent triangles, and area ratios. Construction uses Segment commands to create sides, Line commands for diagonals, Intersect to find the diagonal intersection point, and Angle tools to mark relevant angles for congruence observation. Objects include vertices A, B, C, D, sides a, b, c, d, diagonals e, f, and multiple auxiliary segments and angle labels. Suitable for middle school geometry or high school review, allowing students to drag vertices and verify diagonal properties interactively, bridging visual intuition and formal proof.