Constant length of the projection of the mid-perpendicular on a chord in a parab

This example demonstrates the constant length of the projection of the mid-perpendicular on a chord within a parabola. Key mathematical concepts include parabola, median line, projection, coordinate geometry. The construction utilizes GeoGebra commands such as Intersect, Point, Segment, Midpoint, OrthogonalLine, and Angle. It is suitable for high school mathematics students and educators exploring parabolic properties and geometric constructions.