Question

in the cube shown below, which lines are intersecting?

$overleftrightarrow{ru}$ and $overleftrightarrow{vy}$ $overleftrightarrow{tx}$ and $overleftrightarrow{wx}$ $overleftrightarrow{ru}$ and $overleftrightarrow{sw}$ $overleftrightarrow{rv}$ and $overleftrightarrow{tu}$

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• For $\overleftrightarrow{RU}$ and $\overleftrightarrow{VY}$: They are skew - not in the same plane and do not intersect.
• For $\overleftrightarrow{TX}$ and $\overleftrightarrow{WX}$: They share the common point $X$, so they intersect.
• For $\overleftrightarrow{RU}$ and $\overleftrightarrow{SW}$: They are skew - not in the same plane and do not intersect.
• For $\overleftrightarrow{RV}$ and $\overleftrightarrow{TU}$: They are parallel and do not intersect.

Answer:

$\overleftrightarrow{TX}$ and $\overleftrightarrow{WX}$