Question

example 2
a. name all segments parallel to $overrightarrow{jk}$.
b. name all segments parallel to $overrightarrow{ns}$.
c. name a plane parallel to plane $jkl$.
d. name four segments skew to $overrightarrow{rq}$.

Explanation:

Step1: Recall parallel - segment concept

Parallel segments in 3 - D figures are segments that lie in the same direction and never intersect. For part a, in a prism - like figure, segments parallel to $\overline{JK}$ will have the same direction.

Step2: Identify parallel segments to $\overline{JK}$

$\overline{ML}$ is parallel to $\overline{JK}$ as they are opposite sides of a rectangular - like face.

Step3: Recall parallel - segment concept for $\overline{NS}$

For part b, looking for segments with the same direction as $\overline{NS}$. $\overline{RP}$ is parallel to $\overline{NS}$.

Step4: Recall parallel - plane concept

For part c, a plane parallel to plane $JKL$ will have the same orientation and will not intersect. Plane $MNP$ is parallel to plane $JKL$.

Step5: Recall skew - segment concept

Skew segments are non - parallel and non - intersecting segments in 3 - D space. For part d, segments like $\overline{JM}$, $\overline{ML}$, $\overline{LN}$, $\overline{NJ}$ are skew to $\overline{RQ}$.

Answer:

a. $\overline{ML}$
b. $\overline{RP}$
c. Plane $MNP$
d. $\overline{JM}$, $\overline{ML}$, $\overline{LN}$, $\overline{NJ}$