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Which of these is a line segment...

Which of these is a line segment

A

`leftarrow `

B

___________

C

` hArr `

D

` to `

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a line segment, we can analyze each option based on the definitions of a line, ray, and line segment. ### Step-by-Step Solution: 1. **Understanding Definitions**: - A **line** extends infinitely in both directions and has no endpoints. - A **ray** has one endpoint and extends infinitely in one direction. - A **line segment** has two endpoints and is a part of a line. 2. **Analyzing the First Option**: - The first option is described as having one side with an arrow and the other side without an arrow. - This indicates that it is a **ray** because it has one endpoint and extends infinitely in one direction. - **Conclusion**: This is not a line segment. 3. **Analyzing the Second Option**: - The second option is described as extending infinitely in both directions with no endpoints. - This indicates that it is a **line**. - **Conclusion**: This is not a line segment. 4. **Analyzing the Third Option**: - The third option is described as having arrows on both sides, indicating it can be extended indefinitely. - However, it is stated that it has two endpoints. - This indicates that it is a **line segment** because it is a part of a line with two distinct endpoints. - **Conclusion**: This is a line segment. 5. **Analyzing the Fourth Option**: - The fourth option is similar to the first option, having one side with an arrow and the other side without an arrow. - This indicates that it is also a **ray**. - **Conclusion**: This is not a line segment. ### Final Answer: The third option is the line segment.
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