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 properties:

1. Coplanarity: Both lines lie in the same vertical plane (the X - oriented plane in the diagram), so they are coplanar, eliminating the "non - coplanar" option.
2. Parallelism: Parallel lines are coplanar and never intersect, and they have the same direction. In the diagram, AB and CG are both vertical (assuming the orientation) and do not intersect, and they are coplanar.
3. Perpendicularity: Perpendicular lines intersect at a right angle. AB and CG do not intersect, so they are not perpendicular.
4. Skew Lines: Skew lines are non - coplanar and do not intersect. Since AB and CG are coplanar, they are not skew.

So, lines AB and CG are parallel.

Answer:

B. parallel