Question

in the triangular prism shown below, which lines are intersecting? (overrightarrow{kl}) and (overrightarrow{gh}) (overrightarrow{gj}) and (overrightarrow{il}) (overrightarrow{gj}) and (overrightarrow{gh}) (overrightarrow{il}) and (overrightarrow{gh})

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• $\overleftrightarrow{KL}$ and $\overleftrightarrow{GH}$: Do not meet, so not intersecting.
• $\overleftrightarrow{GJ}$ and $\overleftrightarrow{IL}$: Do not meet, so not intersecting.
• $\overleftrightarrow{GJ}$ and $\overleftrightarrow{GH}$: Share point $G$, so are intersecting.
• $\overleftrightarrow{IL}$ and $\overleftrightarrow{GH}$: Do not meet, so not intersecting.

Answer:

$\overleftrightarrow{GJ}$ and $\overleftrightarrow{GH}$