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 \( CG \):

1. Understand Line Relationships:

• Non - coplanar: Lines that do not lie on the same plane. But from the diagram, \( AB \) and \( CG \) seem to be in a related spatial setup, not non - coplanar.
• Parallel: Parallel lines are coplanar, never intersect, and have the same direction. In the diagram, the distance between \( A - C \) and \( B - G \) is the same, and the lines seem to have the same orientation (vertical in the diagram's context), so they are parallel.
• Perpendicular: Perpendicular lines intersect at a right angle (\( 90^\circ \)). There is no indication of a right - angle intersection here.
• Skew: Skew lines are non - coplanar and non - parallel. Since we can see a planar relationship and same - direction indication, they are not skew.

Answer:

B. parallel