Question

A student draws two lines. He states that since they do not cross on his sheet of paper, they must be parallel. Why might his conclusion be incorrect?

Options

• The lines might be perpendicular.

• The lines could intersect at a point beyond the edge of the paper.

• Parallel lines must always cross eventually.

• The lines are actually the same line.

Answer 1

The lines could intersect at a point beyond the edge of the paper.

Explanation:

Lines extend infinitely. Not intersecting on a finite piece of paper does not mean they won't intersect somewhere.