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The number of line segments determined by three collinear points is:
a)Two
b)Three
c)Four
d)Only one
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The number of line segments determined by three collinear points is:a)...
if the points are collinear then only 1 line can pass through 3 points as colinear mean the points which are on same line.
Most Upvoted Answer
The number of line segments determined by three collinear points is:a)...
Let A, B and C be three collonear points. Then you will get 3 line-segments AB, BC and AC.
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Community Answer
The number of line segments determined by three collinear points is:a)...
Explanation:
When three points are collinear, it means they lie on the same straight line. In this case, the number of line segments determined by these three collinear points is only one.
Reasoning:
To understand why there is only one line segment, let's consider the definition of a line segment. A line segment is a straight path that connects two points. In the case of collinear points, all three points lie on the same straight line.
Key Point:
When three points are collinear, they cannot determine multiple line segments because they are already on the same line.
Illustration:
Let's consider three collinear points A, B, and C.
A------B------C
In this case, points A, B, and C are already on the same line. Therefore, the line segment AB and BC coincide with each other, forming a single line segment AC.
Conclusion:
Hence, the correct answer is option 'D' - Only one. When three points are collinear, they can determine only one line segment.
When three points are collinear, it means they lie on the same straight line. In this case, the number of line segments determined by these three collinear points is only one.
Reasoning:
To understand why there is only one line segment, let's consider the definition of a line segment. A line segment is a straight path that connects two points. In the case of collinear points, all three points lie on the same straight line.
Key Point:
When three points are collinear, they cannot determine multiple line segments because they are already on the same line.
Illustration:
Let's consider three collinear points A, B, and C.
A------B------C
In this case, points A, B, and C are already on the same line. Therefore, the line segment AB and BC coincide with each other, forming a single line segment AC.
Conclusion:
Hence, the correct answer is option 'D' - Only one. When three points are collinear, they can determine only one line segment.
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The number of line segments determined by three collinear points is:a)Twob)Threec)Fourd)Only oneCorrect answer is option 'D'. Can you explain this answer?
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The number of line segments determined by three collinear points is:a)Twob)Threec)Fourd)Only oneCorrect answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The number of line segments determined by three collinear points is:a)Twob)Threec)Fourd)Only oneCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of line segments determined by three collinear points is:a)Twob)Threec)Fourd)Only oneCorrect answer is option 'D'. Can you explain this answer?.
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