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Which of the following is true about a point in geometry?
  • a)
    A point has a definite size.
  • b)
    A point is labeled with lowercase letters.
  • c)
    A point marks an exact location but has no size.
  • d)
    A point extends infinitely in all directions.
Correct answer is option 'C'. Can you explain this answer?
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Which of the following is true about a point in geometry?a)A point has...
A point in geometry is an exact location with no length, width, or height. It is usually labeled with a capital letter and is imagined to be very small, representing a specific position without any physical dimensions.
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Which of the following is true about a point in geometry?a)A point has...
Understanding Points in Geometry
In geometry, a point is one of the fundamental concepts that lays the groundwork for more complex shapes and figures. Here's a detailed breakdown of why option 'C' is the correct statement about a point:
Definition of a Point
- A point is defined as an exact location in space.
- It has no dimensions, which means it does not have length, width, or height.
Characteristics of a Point
- No Size: Unlike other geometric figures, a point does not have a definite size. This is why option 'A' is incorrect.
- Labeling: Points are commonly labeled with uppercase letters (e.g., Point A or Point B), not lowercase letters. Therefore, option 'B' is also incorrect.
- Positioning: Points are used to indicate positions in a coordinate system or space, serving as reference markers.
Misconceptions about Points
- Extension: A point does not extend infinitely in any direction. That characteristic belongs to lines, which are made up of an infinite number of points. Thus, option 'D' is incorrect.
Conclusion
- Option 'C' accurately describes a point: it marks an exact location but has no size. This unique quality makes points essential in geometry, forming the basis for lines, angles, and other geometric entities. Understanding this concept is crucial for students as they progress in their study of geometry.
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Which of the following is true about a point in geometry?a)A point has a definite size.b)A point is labeled with lowercase letters.c)A point marks an exact location but has no size.d)A point extends infinitely in all directions.Correct answer is option 'C'. Can you explain this answer?
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