Question

is the following statement true or false?
the intersection of a plane and a line can be a line.
true false

Explanation:

Step1: Recall line-plane intersection cases

A line and a plane can intersect in three ways: no intersection (line is parallel and not on the plane), one point (line passes through the plane at a single point), or the entire line (if the line lies on the plane).

Step2: Analyze the statement

If the line lies on the plane, their intersection is the entire line. So the intersection of a plane and a line can be a line (when the line is on the plane).

Answer:

true