Question

consider the diagram. lines ac and rs are coplanar. parallel. perpendicular. skew.

Explanation:

Step1: Recall definitions

• Coplanar: Lines that lie on the same plane.
• Parallel: Lines that do not intersect and are coplanar.
• Perpendicular: Lines that intersect at a right - angle (\(90^{\circ}\)).
• Skew: Lines that are not coplanar (do not lie on the same plane), do not intersect.

Step2: Analyze the lines \(AC\) and \(RS\)

• Line \(AC\) lies on the vertical plane.
• Line \(RS\) lies on the horizontal plane.
• They are not parallel (they are not on the same plane, so the parallelism (which requires coplanarity) is out of the question).
• They are not coplanar (one is on a vertical plane, the other on a horizontal plane).
• They are not perpendicular (perpendicularity requires intersection, and these lines do not intersect as they are not coplanar).
• Skew lines are non - coplanar and non - intersecting. Lines \(AC\) and \(RS\) are non - coplanar and do not intersect.

Answer:

skew.