Question

b. parallel lines are lines in the same plane that do not intersect. c. parallel lines are lines that are noncoplanar and do not intersect. d. parallel lines are lines that occupy the same space and have all their points in common. e. parallel lines are lines that intersect to form angles with measures not equal to 90 degrees.

Explanation:

To determine the correct definition of parallel lines, we recall the geometric definition: Parallel lines are coplanar (lie in the same plane) and do not intersect.

• Option A: Not shown, but we analyze the given.
• Option B: States parallel lines are in the same plane and do not intersect. This matches the definition.
• Option C: Says non - coplanar, but parallel lines are coplanar, so incorrect.
• Option D: Lines that occupy the same space with all points in common are coincident lines, not parallel, so incorrect.
• Option E: Parallel lines, if they intersect (but they don't), and the angle description is wrong. Parallel lines either are parallel (no intersection) or if cut by a transversal, can form various angles, but the definition of parallel lines is about non - intersection in the same plane. So B is correct.

Answer:

B. Parallel lines are lines in the same plane that do not intersect