Question

in the cube shown below, which lines are intersecting? nr and lm pq and ko lm and lp qr and op

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{LM}$, they are skew - not intersecting.
• For $\overleftrightarrow{PQ}$ and $\overleftrightarrow{KO}$, they are skew - not intersecting.
• For $\overleftrightarrow{LM}$ and $\overleftrightarrow{LP}$, they intersect at point $L$.
• For $\overleftrightarrow{QR}$ and $\overleftrightarrow{OP}$, they are parallel - not intersecting.

Answer:

$\overleftrightarrow{LM}$ and $\overleftrightarrow{LP}$