Question

which line is parallel to line r?
line p
line q
line s
line t

Explanation:

Step1: Recall the definition of parallel lines

Parallel lines are lines in a plane that do not intersect.

Step2: Analyze each line

• Line \(p\) is perpendicular to the plane (as it is vertical in a different orientation compared to \(r\) which is in - plane and horizontal - like).
• Line \(q\) is perpendicular to the plane (vertical) and not parallel to \(r\) (horizontal - like in the plane).
• Line \(s\) has the same direction (arrows indicating same - direction movement) as line \(r\) and does not intersect \(r\) (since they are in the same plane and have the same slope - like property in the geometric sense).
• Line \(t\) intersects line \(r\) (as per the figure's intersection point).

Answer:

line \(s\)