Building Parallelograms in the Coordinate Plane (Version 1)

This example demonstrates how to construct a parallelogram in the coordinate plane using given points and verify its geometric properties. The core mathematical concepts include the definition of a parallelogram (opposite sides parallel and equal), coordinate geometry relationships between points and segments, and using length calculations to confirm correctness. Construction details: GeoGebra commands such as PointIn to place points, Polygon to form the quadrilateral, Segment to draw sides, Length to measure side lengths, along with interactive elements like a button (button1) and text objects (text2, text3, etc.) for feedback, and sliders for dynamic parameter adjustment. Suitable for middle school to high school students, this example helps learners understand coordinate-based construction and property verification, and serves as an interactive teaching tool for geometry lessons.