Lines l and m both pass through points A and B. Which conclusion is logically correct?
a) l \text{ and } m \text{ are perpendicular to each other}
b) l \text{ and } m \text{ are the same line}
c) l \text{ and } m \text{ are distinct parallel lines}
d) l \text{ and } m \text{ intersect at exactly one more point besides } A \text{ and } B$