Is the following statement true or false?The intersection of a plane and a line can be a line segment.truefalseSubmit

The statement is false.

Explanation:

The intersection of a plane and a line can result in one of the following possibilities:

1. The line lies entirely within the plane (in which case they intersect in the entire line).
2. The line intersects the plane at a single point (if the line passes through the plane).
3. The line does not intersect the plane at all (if the line is parallel to the plane).

Since a line segment implies there are only two endpoints, it cannot be the result of an intersection between a line and a plane, which can produce either a full line or a single point.

Final Answer

False