Parallelogram Properties on a Coordinate Grid

This example demonstrates drawing and verifying the properties of a parallelogram on a coordinate grid. It involves core mathematical concepts such as opposite sides being equal, diagonals bisecting each other, coordinate geometry, Pythagorean theorem, and vector operations. The construction uses GeoGebra commands like Segment, Line, Intersect, and Polygon, along with objects A, B, C, f, g, h, i, D, q1, b, a, d, c, j, k, E. Suitable for high school students learning the geometric properties of parallelograms and their coordinate representations, as well as for teaching demonstrations in analytical geometry.