Question

extra practice level up your skills! example 1 identify each of the following using the figure shown. assume that lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively. 1. two segments skew to \\( \overline { m n } \\) 2. two segments parallel to \\( \overline { m n } \\)

Explanation:

Step1: Recall the definition of skew lines

Skew lines are non - parallel and non - intersecting lines in 3 - D space.
For segment \(MN\), segments \(JK\) and \(PL\) are skew to \(MN\) as they are not in the same plane as \(MN\), not parallel to \(MN\) and do not intersect \(MN\).

Step2: Recall the definition of parallel lines

Parallel lines are lines in the same plane that do not intersect.
Segments \(PL\) and \(JK\) are parallel to \(MN\) (assuming the figure is a prism - like structure where opposite sides of the parallelogram - like faces are parallel).

Answer:

1. \(JK\) and \(PL\)
2. \(PL\) and \(JK\)