Question

1. in the diagram below, which two rays are opposite one another?

mn and pq
xm and xn
px and xn
xq and mn

Explanation:

Step1: Recall definition of opposite rays

Opposite rays are two rays that have the same endpoint and extend in opposite directions to form a straight - line.

Step2: Analyze each option

• For $\overrightarrow{MN}$ and $\overrightarrow{PQ}$, they do not have the same endpoint.
• For $\overrightarrow{XM}$ and $\overrightarrow{XN}$, they have the same endpoint $X$ but do not form a straight - line as they are part of an angle at $X$.
• For $\overrightarrow{PX}$ and $\overrightarrow{XN}$, they have the same endpoint $X$ and extend in opposite directions to form a straight - line.
• For $\overrightarrow{XQ}$ and $\overrightarrow{MN}$, they do not have the same endpoint.

Answer:

C. $\overrightarrow{PX}$ and $\overrightarrow{XN}$