Final answer:
The intersection of a plane and a line segment cannot be a line segment.
Step-by-step explanation:
The statement is false.
The intersection of a plane and a line segment can either be a single point or an empty set, but it cannot be a line segment. A line segment is a part of a line with two distinct endpoints, while the intersection of a plane and a line segment will result in either a single point or no points at all.
For example, consider a plane intersecting with a line segment. If the line segment lies entirely in the plane, the intersection will be the line segment itself. However, if the line segment is partially or fully outside the plane, there will be no intersection points.