Question

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

Explanation:

Step1: Recall definitions

• Parallel lines: Lines that are in the same plane and never intersect.
• Coplanar: Lying on the same plane.
• Perpendicular: Intersecting at a right - angle (\(90^{\circ}\)).
• Skew: Lines that are not parallel, not intersecting, and not coplanar.

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

• Line \(AC\) is on plane \(X\).
• Line \(RS\) is on plane \(Y\).
• Lines \(AC\) and \(RS\) are not parallel (their directions are different as per the diagram).
• Lines \(AC\) and \(RS\) do not intersect (they are on different planes).
• Lines \(AC\) and \(RS\) are not coplanar (one is on plane \(X\) and the other on plane \(Y\)).

Answer:

skew.