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:

To determine the relationship between lines AB and CG, we analyze their orientation. From the diagram, AB and CG are in the same plane (the vertical plane) and they never intersect. Also, they have the same direction (both vertical, as per the axes and the given distance condition implying they are equidistant and aligned). Parallel lines are coplanar, never intersect, and have the same direction. Non - coplanar lines don't lie on the same plane, perpendicular lines intersect at 90 degrees, and skew lines are non - coplanar and non - intersecting. Since AB and CG are coplanar, non - intersecting, and have the same direction, they are parallel.

Answer:

B. parallel