Question

in the triangular prism shown below, which lines are skew? xy and uv, wy and tv, vy and wx, tv and vy

Explanation:

Step1: Recall skew - lines definition

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze each option

• For $\overleftrightarrow{XY}$ and $\overleftrightarrow{UV}$: They are parallel.
• For $\overleftrightarrow{WY}$ and $\overleftrightarrow{TV}$: They are parallel.
• For $\overleftrightarrow{VY}$ and $\overleftrightarrow{WX}$: They are non - parallel and non - intersecting.
• For $\overleftrightarrow{TV}$ and $\overleftrightarrow{VY}$: They intersect at point $V$.

Answer:

$\overleftrightarrow{VY}$ and $\overleftrightarrow{WX}$