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 \(AB\) and \(CG\) are non - coplanar, but this is a more general term. Skew lines are a specific type of non - coplanar lines.
• Parallel: Parallel lines are coplanar and do not intersect. Since \(AB\) and \(CG\) are non - coplanar, they cannot be parallel.
• Perpendicular: Perpendicular lines intersect at a right angle. Since \(AB\) and \(CG\) are non - coplanar, they cannot intersect, so they cannot be perpendicular.
• Skew: Skew lines are non - coplanar and do not intersect. Lines \(AB\) and \(CG\) fit this definition.

Answer:

skew