Question

in the rectangular prism shown below, which lines are skew?
$overleftrightarrow{or}$ and $overleftrightarrow{mn}$
$overleftrightarrow{mn}$ and $overleftrightarrow{op}$
$overleftrightarrow{pq}$ and $overleftrightarrow{op}$
$overleftrightarrow{kl}$ and $overleftrightarrow{lp}$

Explanation:

Skew lines are lines that do not intersect and are not parallel (they lie in non-parallel, non-intersecting planes).

1. $\overleftrightarrow{OR}$ and $\overleftrightarrow{MN}$: These lines are parallel, so they are not skew.
2. $\overleftrightarrow{MN}$ and $\overleftrightarrow{OP}$: These lines do not intersect, and they are not parallel (they lie in separate, non-parallel planes of the prism), so they are skew.
3. $\overleftrightarrow{PQ}$ and $\overleftrightarrow{OP}$: These lines intersect at point P, so they are not skew.
4. $\overleftrightarrow{KL}$ and $\overleftrightarrow{LP}$: These lines intersect at point L, so they are not skew.

Answer:

$\overleftrightarrow{MN}$ and $\overleftrightarrow{OP}$