Question

in the rectangular prism shown below, which lines are intersecting? select all that apply.\overrightarrow{gk} and \overrightarrow{mn}\overrightarrow{gk} and \overrightarrow{hl}\overrightarrow{kn} and \overrightarrow{mn}\overrightarrow{kl} and \overrightarrow{gh}

Explanation:

Intersecting lines share a common point. In a rectangular prism, adjacent edges meet at vertices. $\overline{KL}$ and $\overline{GH}$ are adjacent edges (meet at vertex K/G), $\overline{GK}$ and $\overline{HL}$ are space diagonals intersecting at the center, $\overline{KN}$ and $\overline{MW}$ are opposite edges (no common point), $\overline{GK}$ and $\overline{MW}$ are skew (no common point).

Answer:

$\overline{GK}$ and $\overline{HL}$, $\overline{KL}$ and $\overline{GH}$