in the rectangular prism shown below, which lines are skew? select all that apply.
in the rectangular prism shown below, which lines are skew? select all that apply.
Answer
Explanation:
Step1: Recall skew - line definition
Skew lines are non - parallel and non - intersecting lines in 3 - D space.
Step2: Analyze each pair
- For $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HI}$: They are in different planes, not parallel, and do not intersect.
- For $\overleftrightarrow{HL}$ and $\overleftrightarrow{FG}$: They are in different planes, not parallel, and do not intersect.
- For $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HL}$: They are in different planes, not parallel, and do not intersect.
- For $\overleftrightarrow{LM}$ and $\overleftrightarrow{FI}$: They are in different planes, not parallel, and do not intersect.
Answer:
$\overleftrightarrow{FJ}$ and $\overleftrightarrow{HI}$, $\overleftrightarrow{HL}$ and $\overleftrightarrow{FG}$, $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HL}$, $\overleftrightarrow{LM}$ and $\overleftrightarrow{FI}$