Slicing Solids Practice: Constructing Cross-Sections

This GeoGebra practice demonstrates how to choose a cutting plane in a 3D solid and obtain the cross-section (slice) created by the plane–solid intersection. It highlights key ideas from solid geometry: plane and solid intersection, how a cross-sectional polygon is formed from intersection points, and how angles, line segments, and straight lines support the construction and interpretation of the slice. The construction workflow is: build or define the 3D solid, construct a plane used for slicing, compute intersection points between the plane and the solid’s edges/faces, then connect those points to form the resulting cross-section polygon; additionally, measure or mark relevant angles to study the geometric relationships as the slicing changes. Since the provided “construction summary” contains no specific GeoGebra commands, the description focuses on the standard GeoGebra objects/steps needed for slicing: solid/face objects, a plane object, intersection computations, points, segments/lines for guidance, polygon to outline the cross-section, and angle measurements. Suitable for middle/high school solid geometry lessons and for interactive classroom demonstrations or exploratory learning about 3D geometry.