Building a Pyramid in GeoGebra: Faces and Edges

This example demonstrates how to construct a pyramid (a 3D polyhedron) in GeoGebra from a set of points, and how to visualize and label its faces and edges. It centers on solid geometry concepts: defining a polyhedron via vertices, understanding faces as planar regions and edges as line segments, and using real-number point placement for geometric modeling. The construction is built using the GeoGebra commands Point and Pyramid. First, Point creates the required vertices (e.g., A, B, C, D, E and an auxiliary point a). Then Pyramid uses those points to generate the pyramid’s faces (faceABCD, faceABE, faceBCE, faceCDE, faceADE) and its edges (edgeAB, edgeBC, edgeCD, edgeAD, edgeAE, edgeBE, edgeCE, edgeDE). Finally, text objects (text1, text2, text3) are used to annotate the diagram. Suitable for middle-school solid-geometry instruction, interactive classroom demonstrations, and introductory geometry visualization/modeling.