Constructing a Prism of Planes and Its Key Angles

This example demonstrates how to construct a “prism of planes” configuration in GeoGebra and visualize the most important angular relationships and cross-sectional shapes. The core topics are solid geometry (a prism formed by plane pieces), angles within planes and between planes, and the use of geometry tools to establish exact relationships from computed quantities. Construction highlights: it uses the GeoGebra commands “Determinant” and “IntersectPath” to compute determinants and to find intersection points between constructed paths/curve segments, producing the required geometric objects (M, d, c, b, a, f, g, h) that build the prism and its angle structure. Suitable for upper secondary to early college, and for interactive teaching of 3D/plane-angle concepts via geometric modeling in GeoGebra.