Final answer:
Conic sections such as circles and ellipses can be cross-sections of a sphere, while hyperbolas and parabolas are associated with cones. Squares are not conic sections but could be cross-sections of cubes or rectangular prisms.
Step-by-step explanation:
The question pertains to the two-dimensional figures known as conic sections, which can act as cross-sections of certain three-dimensional solids. A sphere when intersected by a plane will result in a circle if the plane cuts through the center, or an ellipse if the plane cuts off-center. The mentioned two-dimensional conic sections, such as hyperbola, parabola, and ellipse, are typically obtained by the intersection of a cone with a plane at different angles and positions, whereas a square is not generally considered a conic section but might be a cross-section of a cube or rectangular prism.
Hyperbolas and parabolas do not arise as cross-sections of spheres but rather of cones, whereas a square can serve as a cross-section for a cube or other similar polyhedral solids with square faces, depending on how the plane intersects the solid.