Question

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

Explanation:

To determine the relationship between lines \( AC \) and \( RS \):

1. Coplanar: Coplanar lines lie in the same plane. Line \( AC \) is in the vertical (X - related) plane, and line \( RS \) is in the horizontal (Y - related) plane. So they are not coplanar.
2. Parallel: Parallel lines are coplanar and never intersect. Since \( AC \) and \( RS \) are not coplanar, they can't be parallel.
3. Perpendicular: Perpendicular lines are coplanar and intersect at a right angle. Again, \( AC \) and \( RS \) are not coplanar, so they aren't perpendicular.
4. Skew: Skew lines are non - coplanar, non - parallel, and non - intersecting. Since \( AC \) (in the vertical plane) and \( RS \) (in the horizontal plane) are in different planes, not parallel, and don't intersect, they are skew.

Answer:

The correct option is: skew (the option with the blue dot, which is the last option in the list: "skew").