Question

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

Explanation:

Identify the positions of lines a and d relative to the planes

Line \(a\) lies entirely within the vertical plane \(N\).
Line \(d\) is the line of intersection between the vertical plane \(N\) and the horizontal plane \(M\).

Determine the geometric relationship between the two lines

Since both line \(a\) and line \(d\) lie within the same plane \(N\), they are coplanar.
Looking at plane \(N\), line \(a\) is a vertical line and line \(d\) is a horizontal line. They intersect at a right angle.
Therefore, lines \(a\) and \(d\) are perpendicular.

Answer:

• non-coplanar
• parallel
• perpendicular (Correct answer)
• skew