What cross section results if you cut a pyramid perpendicular to its base?

If you cut a pyramid perpendicular to its base, the resulting cross-section will be a polygon that is similar to the base of the pyramid. The specific shape of the cross-section will depend on the height at which the pyramid is cut; as you move higher up, the cross-section will gradually decrease in size while maintaining the same proportions as the base. If the cut is made at the very top, the cross-section will be a single point, while cuts at varying heights will yield progressively smaller similar polygons.