Question

in the diagram shown, the distance between points a and c is the same as the distance between points b and g. lines ab and cg are non - coplanar. parallel. perpendicular. skew.

Explanation:

• Non - coplanar: Lines that are non - coplanar are not in the same plane. But we need to check other properties first.
• Parallel: Parallel lines are in the same plane and never intersect. From the diagram, lines \(AB\) and \(CG\) are not in the same plane.
• Perpendicular: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). Since the lines are not in the same plane, they cannot intersect at a right - angle.
• Skew: Skew lines are non - parallel, non - intersecting, and non - coplanar. Lines \(AB\) and \(CG\) are not parallel (they have different directions), they do not intersect (as they are in different planes), and they are not coplanar.

Answer:

skew.