GeoGebra Custom Tool: Constructing Geometry with Perpendicular Lines and Interse

This example demonstrates how to create and use a GeoGebra custom tool that packages a sequence of construction steps into reusable actions. It builds geometric elements by enforcing perpendicularity and then extracting key points through intersections. The central ideas are geometric construction (perpendicular lines via OrthogonalLine), object construction with primitives (Line and Segment), and determining intersection points with Intersect. In the construction, the commands Line, OrthogonalLine, Intersect, and Segment are combined to produce a structured set of objects (A, B, a, C, b, D, c), illustrating how inputs and outputs can be connected in a custom workflow. Suitable for middle and high school geometry practice, as well as for teaching GeoGebra tool creation and dependency-based modeling.