Orthogonality in Geometric Constructions: Perpendicular Lines and Angle Constrai

This GeoGebra example demonstrates orthogonality by constructing perpendicular lines within a larger geometric configuration. It visualizes how a right-angle (perpendicular) constraint translates into measurable angle relationships among lines and polygonal regions. Key concepts include orthogonality (perpendicular lines), angle construction and measurement (Angle), midpoint-based construction (Midpoint), and structured geometry built from points, lines, and polygons (interpretable in a 3D/space-aware setting). Construction workflow: Line creates the main line framework; OrthogonalLine generates lines perpendicular to a chosen line; Point defines the key vertices (e.g., A, B and others); Polygon builds several polygonal parts to organize the configuration; Angle displays the relevant angles (α, β, γ, δ) to verify the perpendicular and angular relationships; Midpoint introduces midpoints (e.g., M, m) to support symmetric or constrained geometry. Suitable for advanced secondary students and early university learners for teaching perpendicular conditions, angle-based reasoning, and geometric construction techniques.