Question

consider the diagram.
lines a and d are
non - coplanar.
parallel.
perpendicular.
skew.

Explanation:

To determine the relationship between lines \(a\) and \(d\), we analyze the diagram:

• Non - coplanar: Lines \(a\) and \(d\) lie on the same plane (plane \(M\) or the intersection - related plane), so they are coplanar. Eliminate this option.
• Parallel: Parallel lines never meet and have the same direction. From the diagram, line \(a\) is vertical and line \(d\) is horizontal, so they are not parallel. Eliminate this option.
• Perpendicular: Perpendicular lines intersect at a right angle (\(90^{\circ}\)). The diagram shows a right - angle symbol between lines \(a\) and \(d\), indicating they intersect at \(90^{\circ}\), so they are perpendicular.
• Skew: Skew lines are non - coplanar and non - intersecting. Since \(a\) and \(d\) intersect, they are not skew. Eliminate this option.

Answer:

perpendicular.