Drawing Height in Parallelogram and Constructing Area Relation

This GeoGebra example demonstrates how to draw heights in a parallelogram and construct auxiliary shapes to reveal the area relationship. The core mathematical concepts include properties of parallelograms, definition of altitude, area formulas, and area decomposition/equivalence. Construction details: using the Polygon command to create the parallelogram (vertices A, B, C, D forming polygon çokgen1), then using Segment commands to draw perpendiculars from vertices to opposite sides, obtaining foot points E, F, G, H, and constructing a second polygon çokgen2 from these points. Additional segments (a, b, c, d, e, f, g, h, i) connect relevant points, allowing visual comparison of areas (e.g., rectangle vs. parallelogram) to derive the area formula. Suitable for middle school geometry, helping students intuitively understand that the area of a parallelogram equals base times height, and how dissection and rearrangement (cut-and-paste) can transform shapes to prove area equivalence.