in the cube shown below, which lines are parallel? select all that apply.
in the cube shown below, which lines are parallel? select all that apply.
Answer
Explanation:
Step1: Recall parallel - line property in a cube
In a cube, parallel lines are lines that never intersect and are in the same or parallel planes.
Step2: Analyze each pair
- For $\overrightarrow{RU}$ and $\overrightarrow{ST}$: They are in parallel planes and have the same direction, so they are parallel.
- For $\overrightarrow{RU}$ and $\overrightarrow{VY}$: They are in parallel planes and have the same direction, so they are parallel.
- For $\overrightarrow{SW}$ and $\overrightarrow{TX}$: They are in parallel planes and have the same direction, so they are parallel.
- For $\overrightarrow{ST}$ and $\overrightarrow{VY}$: They are in parallel planes and have the same direction, so they are parallel.
Answer:
$\overrightarrow{RU}$ and $\overrightarrow{ST}$, $\overrightarrow{RU}$ and $\overrightarrow{VY}$, $\overrightarrow{SW}$ and $\overrightarrow{TX}$, $\overrightarrow{ST}$ and $\overrightarrow{VY}$