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 definitions

• Non - coplanar: Lines not in the same plane. But skew lines are a specific type of non - coplanar lines.
• Parallel: Lines in the same plane that never intersect.
• Perpendicular: Lines that intersect at a right angle (in the same plane).
• Skew: Non - parallel, non - intersecting, and non - coplanar lines.

Step2: Analyze lines AB and CG

• Lines AB and CG are not in the same plane (so not parallel or perpendicular).
• They do not intersect.
• By the definition of skew lines (non - parallel, non - intersecting, non - coplanar), lines AB and CG are skew.

Answer:

skew