Question

is the following statement true or false?
the intersection of three planes can be a line segment.
true false

Explanation:

Step1: Recall plane intersection properties

Planes are infinite, flat surfaces. The intersection of planes is either empty, a point, a line (infinite), or a plane. A line segment is finite, but plane intersections (when they intersect in a line) result in an infinite line, not a finite segment.

Step2: Analyze the statement

The intersection of three planes, if they intersect in a line, that line is infinite (extends infinitely in both directions). A line segment has endpoints and is finite, so three planes can't intersect in a line segment.

Answer:

false