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Choose the correct statement :...

Choose the correct statement :

A

every line has a definite length

B

every ray has a definite length

C

every line segment has a definite length

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Choose the correct statement," we need to analyze each of the provided options regarding lines, rays, and line segments. ### Step-by-Step Solution: 1. **Understanding the Definitions**: - **Line Segment**: A line segment has two endpoints and a fixed length. For example, if we have points A and B, the line segment AB is the distance between A and B, and it cannot be extended beyond these points. - **Ray**: A ray has one endpoint and extends infinitely in one direction. For example, if we have point A and it extends infinitely towards point B, we denote this as ray AB. It does not have a definite length because it continues forever. - **Line**: A line extends infinitely in both directions without any endpoints. It has no fixed length as it can be extended indefinitely in either direction. 2. **Analyzing Each Statement**: - **Every line has a definite length**: This is incorrect because a line extends infinitely in both directions. - **Every ray has a definite length**: This is also incorrect because a ray extends infinitely in one direction. - **Every line segment has a definite length**: This is correct because a line segment has two endpoints and a fixed distance between them. - **None of these**: This option is incorrect since we have already identified a correct statement. 3. **Conclusion**: - The correct statement is: **"Every line segment has a definite length."** ### Final Answer: **Every line segment has a definite length.** ---
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