Properties of sections

Overview
Important

A section (or cross-section) of a solid is the intersection of the solid with a plane. The properties of the section depend on the solid and the orientation and position of the cutting plane.

Important properties

  • The section is always a plane figure (2D shape).

  • The shape and size of the section depend on the angle and position of the cutting plane.

  • Sections can be congruent or similar to faces of the solid, or they can be different shapes.

  • For some solids, certain sections have special properties (e.g., a section of a sphere is always a circle).