Question

Consider two lines in the same plane that are not parallel. Which of the following statements is true?

A) A third line in the plane will always run parallel to the first two lines.
B) A third line in the plane must intersect at least one of the two lines.
C) A third line in the plane will always be perpendicular to the first two lines.
D) A third line in the plane can never be drawn without making the first two lines parallel.

Answer 1

The correct statement is B) A third line in the plane must intersect at least one of the two lines.

Step-by-step explanation:

The correct statement is B) A third line in the plane must intersect at least one of the two lines.

When you have two lines in the same plane that are not parallel, they will always intersect at a single point. Therefore, any third line that is drawn in the plane will also intersect at least one of the two lines.

For example, imagine two lines on a piece of paper. If you draw a third line on the same paper, no matter how it is placed, it will intersect one of the two lines.