Question

in the cube shown below, which lines are parallel? select all that apply.

Explanation:

In a cube, parallel lines are lines that never intersect and are in the same - or parallel - planes. For a cube, edges that are opposite each other and in the same - or parallel - planes are parallel. $\overrightarrow{JN}$ and $\overrightarrow{LP}$ are opposite edges of the cube's top and bottom faces respectively and are parallel. $\overrightarrow{IL}$ and $\overrightarrow{NO}$ are also opposite edges of the cube's side - like faces and are parallel. $\overrightarrow{KL}$ and $\overrightarrow{OP}$ are opposite edges of the cube's side - like faces and are parallel. $\overrightarrow{JN}$ and $\overrightarrow{KO}$ are not parallel as they are not in parallel planes and will intersect if extended.

Answer:

A. $\overrightarrow{JN}$ and $\overrightarrow{LP}$
B. $\overrightarrow{IL}$ and $\overrightarrow{NO}$
C. $\overrightarrow{KL}$ and $\overrightarrow{OP}$