Question

1. which pair of lines is skew?

qr and ts
mn and po
mn and rs
mn and mq
8)

Explanation:

Step1: Recall the definition of skew lines

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

Step2: Analyze each option

• For $\overleftrightarrow{QR}$ and $\overleftrightarrow{TS}$: They are parallel (since in the given figure, they are in the same orientation and do not intersect, violating the skew - line condition).
• For $\overleftrightarrow{MN}$ and $\overleftrightarrow{PO}$: They are parallel (as they have the same direction within their respective planes, violating the skew - line condition).
• For $\overleftrightarrow{MN}$ and $\overleftrightarrow{RS}$:
• $\overleftrightarrow{MN}$ is in one plane (say the top - middle plane) and $\overleftrightarrow{RS}$ is in another plane (the bottom - right plane).
• They are not parallel (their directions are different) and they do not intersect (as they are in different non - intersecting planes).
• For $\overleftrightarrow{MN}$ and $\overleftrightarrow{MQ}$: They intersect at point $M$ (violating the skew - line condition).

Answer:

$\overleftrightarrow{MN}$ and $\overleftrightarrow{RS}$