Question

in the triangular prism shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze $\overleftrightarrow{HJ}$ and $\overleftrightarrow{HK}$

They share point $H$, so they intersect.

Step3: Analyze $\overleftrightarrow{HI}$ and $\overleftrightarrow{IL}$

They share point $I$, so they intersect.

Step4: Analyze $\overleftrightarrow{HJ}$ and $\overleftrightarrow{JM}$

They share point $J$, so they intersect.

Step5: Analyze $\overleftrightarrow{IJ}$ and $\overleftrightarrow{JM}$

They share point $J$, so they intersect.

Answer:

$\overleftrightarrow{HJ}$ and $\overleftrightarrow{HK}$, $\overleftrightarrow{HI}$ and $\overleftrightarrow{IL}$, $\overleftrightarrow{HJ}$ and $\overleftrightarrow{JM}$, $\overleftrightarrow{IJ}$ and $\overleftrightarrow{JM}$