Question

1. parallel lines are defined as:

a. lines that are perpendicular to each other
b. lines that never meet, regardless of how far they are extended
c. lines that intersect at any point
d. lines that intersect at a 90° angle

Explanation:

Parallel lines are lines in a plane that do not intersect or touch each other at any point. They have the same slope (in coordinate geometry) and will never meet, no matter how far they are extended.

• Option a: Lines that are perpendicular to each other intersect at a \(90^{\circ}\) angle, which is not the definition of parallel lines.
• Option b: This matches the definition of parallel lines.
• Option c: Lines that intersect at any point are not parallel.
• Option d: Lines that intersect at a \(90^{\circ}\) angle are perpendicular, not parallel.

Answer:

B. Lines that never meet, regardless of how far they are extended