Question

which are skew lines?

a and b
a and d
b and d

Explanation:

Identify the spatial relationships of the lines

• Line \(a\) lies entirely in the horizontal plane.
• Line \(b\) lies entirely in the horizontal plane, parallel to line \(a\).
• Line \(c\) lies in a vertical plane that intersects the horizontal plane.
• Line \(d\) lies in the horizontal plane and intersects line \(c\) at the plane intersection.

Evaluate the pairs for skewness

• Lines \(a\) and \(b\) are parallel coplanar lines.
• Lines \(b\) and \(d\) are coplanar lines in the horizontal plane that will intersect.
• Line \(a\) (in the horizontal plane) and line \(c\) (going vertically through a different region) do not intersect and are not parallel, meaning they are non-coplanar.

Determine the correct option

• The pair of skew lines is \(a\) and \(c\).

Answer:

• a and b
• a and c (Correct answer)
• b and d