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What is the main difference between a line and a line segment?
- a)A line segment has no endpoints, while a line has two endpoints.
- b)A line extends infinitely in both directions, while a line segment has two endpoints.
- c)A line segment extends infinitely in one direction, while a line does not extend.
- d)A line segment is curved, while a line is straight.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
What is the main difference between a line and a line segment?a)A line...
The Difference Between a Line and a Line Segment
Understanding the distinction between a line and a line segment is fundamental in geometry. Here’s a detailed explanation:
Definition of a Line
- A line is a straight one-dimensional figure that extends infinitely in both directions.
- It has no endpoints and is usually represented with arrows at both ends, indicating its endless nature.
Definition of a Line Segment
- A line segment is a part of a line that has two distinct endpoints.
- It is defined by the points at either end and contains all the points between these endpoints.
Main Differences
- Endpoints:
- A line has no endpoints, while a line segment has two endpoints.
- Length:
- A line extends infinitely and does not have a measurable length.
- A line segment has a fixed length, which can be measured.
- Representation:
- A line is represented as a straight path with arrows at both ends (e.g., ↔).
- A line segment is represented as a straight path with points at both ends (e.g., AB).
Conclusion
Thus, the correct answer, option 'B', clearly states that a line extends infinitely in both directions, while a line segment has two endpoints. This understanding is crucial for solving problems and applying concepts in geometry effectively.
Understanding the distinction between a line and a line segment is fundamental in geometry. Here’s a detailed explanation:
Definition of a Line
- A line is a straight one-dimensional figure that extends infinitely in both directions.
- It has no endpoints and is usually represented with arrows at both ends, indicating its endless nature.
Definition of a Line Segment
- A line segment is a part of a line that has two distinct endpoints.
- It is defined by the points at either end and contains all the points between these endpoints.
Main Differences
- Endpoints:
- A line has no endpoints, while a line segment has two endpoints.
- Length:
- A line extends infinitely and does not have a measurable length.
- A line segment has a fixed length, which can be measured.
- Representation:
- A line is represented as a straight path with arrows at both ends (e.g., ↔).
- A line segment is represented as a straight path with points at both ends (e.g., AB).
Conclusion
Thus, the correct answer, option 'B', clearly states that a line extends infinitely in both directions, while a line segment has two endpoints. This understanding is crucial for solving problems and applying concepts in geometry effectively.
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Community Answer
What is the main difference between a line and a line segment?a)A line...
A line segment is the shortest distance between two points and has two endpoints. A line, on the other hand, extends infinitely in both directions and has no endpoints.
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What is the main difference between a line and a line segment?a)A line segment has no endpoints, while a line has two endpoints.b)A line extends infinitely in both directions, while a line segment has two endpoints.c)A line segment extends infinitely in one direction, while a line does not extend.d)A line segment is curved, while a line is straight.Correct answer is option 'B'. Can you explain this answer?
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