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:

Step1: Recall line relationship definitions

• Non - coplanar: Lines not in same plane. But AB and CG seem in the same vertical plane (from diagram).
• Parallel: Lines in same plane, never meet, same direction.
• Perpendicular: Intersect at 90 degrees. AB and CG don't intersect at 90.
• Skew: Non - coplanar, non - intersecting. But AB and CG are coplanar.

Step2: Analyze AB and CG

From the diagram, AB and CG are in the same plane (the vertical plane with X - direction arrows), and they have the same direction (vertical, as per the arrows and the equal distance info implying they are parallel as they are equidistant and same direction). So they are parallel.

Answer:

parallel (the option labeled "parallel")