Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

is the following statement true or false? a plane and a line can inters…

Question

is the following statement true or false? a plane and a line can intersect in a point. true false

Explanation:

Step1: Recall geometric intersection rules

In geometry, a line can either lie entirely on a plane (in which case they intersect in infinitely many points), be parallel to the plane (no intersection), or intersect the plane at exactly one point.

Step2: Evaluate the statement

The statement says a plane and a line can intersect in a point. Since one of the possible intersection cases between a line and a plane is a single point (when the line is not on the plane and not parallel to it), the statement is true.

Answer:

true