Question

identifying relationships think of each segment in the diagram as part of a line. there may be more than one right answer. 16. name a line skew to $overleftrightarrow{qr}$.

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze the prism

In the given rectangular prism, line $\overleftrightarrow{QR}$ lies in one face. Lines like $\overleftrightarrow{TW}$, $\overleftrightarrow{UX}$, $\overleftrightarrow{TS}$ etc. are non - parallel and non - intersecting with $\overleftrightarrow{QR}$. For example, $\overleftrightarrow{TW}$ is in a different plane from the plane containing $\overleftrightarrow{QR}$, and they do not intersect and are not parallel.

Answer:

$\overleftrightarrow{TW}$ (other valid answers like $\overleftrightarrow{UX}$, $\overleftrightarrow{TS}$ are also possible)