Question

1. name all segments parallel to (overline{jk}). 2) name all segments parallel to (overline{vs}). 3) name a plane parallel to plane (jkl). 4) name four segments skew to (overline{rq}).

Explanation:

Step1: Recall parallel - segment concept

In a 3 - D figure, segments parallel to a given segment lie in the same or parallel planes and do not intersect the given segment.

Step2: Analyze segment $\overline{JK}$

Segments parallel to $\overline{JK}$ are $\overline{ML}$, $\overline{PQ}$, $\overline{NO}$.

Step3: Analyze segment $\overline{VS}$

Segments parallel to $\overline{VS}$ are $\overline{ML}$, $\overline{NO}$, $\overline{RQ}$, $\overline{PQ}$.

Step4: Analyze parallel plane to $JKL$

A plane parallel to plane $JKL$ is plane $MNO$.

Step5: Analyze skew segments to $\overline{RQ}$

Skew segments to $\overline{RQ}$ (segments that are not parallel and do not intersect $\overline{RQ}$) are $\overline{ML}$, $\overline{NO}$, $\overline{VS}$, $\overline{NP}$.

Answer:

1. $\overline{ML}$, $\overline{PQ}$, $\overline{NO}$
2. $\overline{ML}$, $\overline{NO}$, $\overline{RQ}$, $\overline{PQ}$
3. Plane $MNO$
4. $\overline{ML}$, $\overline{NO}$, $\overline{VS}$, $\overline{NP}$