Question

in the rectangular prism shown below, which lines are intersecting? select all that apply.
(image of a rectangular prism with vertices labeled o, n, m, l, k, j, i, h)
options (with checkmarks visible):
$overleftrightarrow{hi}$ and $overleftrightarrow{hl}$
$overleftrightarrow{hi}$ and $overleftrightarrow{hk}$
$overleftrightarrow{ko}$ and $overleftrightarrow{no}$
$overleftrightarrow{ij}$ and $overleftrightarrow{jn}$

Explanation:

Step1: Define intersecting lines

Intersecting lines share exactly one common point.

Step2: Check each pair

• $\overline{HI}$ and $\overline{HL}$: Meet at point H → intersecting.
• $\overline{HI}$ and $\overline{HK}$: Meet at point H → intersecting.
• $\overline{KO}$ and $\overline{NO}$: Meet at point O → intersecting.
• $\overline{IJ}$ and $\overline{JN}$: Meet at point J → intersecting.

Answer:

A. $\overline{HI}$ and $\overline{HL}$, B. $\overline{HI}$ and $\overline{HK}$, C. $\overline{KO}$ and $\overline{NO}$, D. $\overline{IJ}$ and $\overline{JN}$