
Which of the following has a definite length?
A. line segment
B. ray
C. line
D. none of these
Answer
504.6k+ views
Hint: We first explain the differences between the terms like line segment, ray and line. We also use image form to support the definition. We differentiate them depending on if they have fixed boundary points or not.
Complete step-by-step solution:
We first explain the terms line segment, ray and line.
The locus created by joining two points which can be extended at both ends is called a line. It is a one-dimensional figure, which has length but no width. As it can be extended till infinity, we cannot have a definite length of a line. Here AB is a line.
If one end of a line is bounded by one point then it becomes a ray. As it still has one end not bounded, we cannot have a definite length of a ray. Here CD is a ray.
If both end of a line is bounded by two points then it becomes a line segment. As it has both ends being bounded, we can have a definite length of a line segment. Here EF is a line segment.
The correct option is A.
Note: In case we are dealing with the distance of two points, we generally talk about the line segment of those two points. It is the minimum distance or the perpendicular distance between the points. We can also denote the non-bounded part by drawing an arrow at that side.
Complete step-by-step solution:
We first explain the terms line segment, ray and line.
The locus created by joining two points which can be extended at both ends is called a line. It is a one-dimensional figure, which has length but no width. As it can be extended till infinity, we cannot have a definite length of a line. Here AB is a line.
If one end of a line is bounded by one point then it becomes a ray. As it still has one end not bounded, we cannot have a definite length of a ray. Here CD is a ray.
If both end of a line is bounded by two points then it becomes a line segment. As it has both ends being bounded, we can have a definite length of a line segment. Here EF is a line segment.
The correct option is A.
Note: In case we are dealing with the distance of two points, we generally talk about the line segment of those two points. It is the minimum distance or the perpendicular distance between the points. We can also denote the non-bounded part by drawing an arrow at that side.
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