Question

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

Explanation:

Step1: Analyze perpendicular lines

Perpendicular lines intersect at a right - angle. From the diagram, lines \(a\) and \(d\) do not intersect at a right - angle.

Step2: Analyze parallel lines

Parallel lines are coplanar and do not intersect. Lines \(a\) and \(d\) are not coplanar (line \(a\) is in a different plane than line \(d\)), so they are not parallel.

Step3: Analyze non - coplanar and skew lines

Non - coplanar lines that do not intersect are skew lines. Lines \(a\) and \(d\) are non - coplanar. Since they are in different planes and do not intersect, they are skew lines. The term "non - coplanar" is a general property, but the specific geometric term for non - coplanar non - intersecting lines is "skew".

Answer:

skew