Q38 - Geometry

Question

Given the diagram, state whether you can reach the conclusion shown.

$\overrightarrow{OA}$ and $\overrightarrow{OB}$ are opposite rays.

Step-by-Step Solution

Answer

We can conclude that $\overrightarrow{OA}$ and $\overrightarrow{OB}$ are opposite rays.

Step 1. Observe the given diagram.

Step 2. Highlight rays OA and OB in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

Rays are said to be opposite rays if they share a common endpoint O, and that endpoint is between (collinear with and in between) another point A and B on each ray. From the figure, it can be observed that rays $\overrightarrow{OA}$ and $\overrightarrow{OB}$ are pointing in opposite direction to each other. Therefore, rays $\overrightarrow{OA}$ and $\overrightarrow{OB}$ are opposite rays.