Which statement defines parallel lines?

Parallel lines are defined as lines that do not intersect and maintain a constant distance from each other. This characteristic means that no matter how far you extend the lines in either direction, they will never cross. The term "equidistant" indicates that the distance between the two lines remains the same at all points along their lengths, exemplifying the concept of parallelism.

In contrast, the other statements describe different relationships between lines. Lines that intersect at a right angle are defined as perpendicular lines, not parallel. Perpendicular lines meet at a 90-degree angle, which is fundamentally different from parallel lines. The statement regarding lines that diverge from a point indicates that the lines are spreading apart from a common starting point, which also does not describe parallel lines, as parallel lines maintain their distance without converging or diverging. As such, option B correctly encapsulates the definition of parallel lines in geometry.