Triangular Pyramid (Tetrahedron) Dynamic Construction and 3D Geometry Exploratio

This GeoGebra example demonstrates the step-by-step dynamic construction of a triangular pyramid (tetrahedron), visually presenting its base, lateral faces, edges, height, and spatial relationships among vertices in three-dimensional space. The core mathematical concepts covered include solid geometry, polyhedra, triangular pyramids, base and lateral faces, altitude, midpoint, angle bisector, vector translation, dilation, and geometric transformations. Construction highlights: Line, Circle, and Intersect are used to build the base and intersection points; Polygon and Segment draw the faces and edges; Midpoint and AngularBisector handle midpoints and angle bisectors; Vector, Dilate, and Translate generate translated and scaled points, while the If command enables conditional logic and dynamic visibility. Key objects include base vertices A, B, C, D, apex S, height, midpoints M and H, and related construction elements. This resource is suitable for middle and high school solid geometry instruction, teacher classroom demonstrations, and student-led exploration of 3D geometric structures.