in the cube shown below, which lines are intersecting?

$ \overleftrightarrow { o s } $ and $ \overleftrightarrow { u v } $
$ \overleftrightarrow { q u } $ and $ \overleftrightarrow { o p } $
$ \overleftrightarrow { p t } $ and $ \overleftrightarrow { t u } $
$ \overleftrightarrow { q r } $ and $ \overleftrightarrow { s t } $

Question

in the cube shown below, which lines are intersecting?

$ \overleftrightarrow { o s } $ and $ \overleftrightarrow { u v } $
$ \overleftrightarrow { q u } $ and $ \overleftrightarrow { o p } $
$ \overleftrightarrow { p t } $ and $ \overleftrightarrow { t u } $
$ \overleftrightarrow { q r } $ and $ \overleftrightarrow { s t } $

Accepted Answer

# Explanation:
## Step1: Recall the definition of intersecting lines
Intersecting lines are lines that meet at a common point.
## Step2: Analyze each pair
- For $\overleftrightarrow{OS}$ and $\overleftrightarrow{UV}$: These lines are parallel (in a cube, opposite edges are parallel), so they do not intersect.
- For $\overleftrightarrow{QU}$ and $\overleftrightarrow{OP}$: These lines are skew (not in the same plane and not parallel), so they do not intersect.
- For $\overleftrightarrow{PT}$ and $\overleftrightarrow{TU}$: These lines meet at point $T$, so they intersect.
- For $\overleftrightarrow{QR}$ and $\overleftrightarrow{ST}$: These lines are skew (not in the same plane and not parallel), so they do not intersect.

# Answer:
$\overleftrightarrow{PT}$ and $\overleftrightarrow{TU}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the definition of intersecting lines

Step2: Analyze each pair

Answer: