Question

Which of the following best describes a counterexample to the assertion below? If there are two lines, then they always intersect at a point.

a) Two parallel lines
b) Perpendicular lines
c) Intersecting lines
d) Collinear lines

Answer 1

The correct counterexample to the assertion that two lines always intersect is two parallel lines since they never meet.

Step-by-step explanation:

The best description of a counterexample to the assertion that if there are two lines, they always intersect at a point would be a) Two parallel lines. This is because parallel lines are defined as lines in the same plane that never intersect, no matter how far they are extended. In contrast, perpendicular lines, intersecting lines, and collinear lines would all meet at a point, so they cannot be considered counterexamples to the assertion in question.