
Name the line segments in the following figure.
Answer
512.4k+ views
Hint: A line has no end points and it extends in both directions endlessly. A line segment is a portion of a line that has two endpoints. It is the path between the two points with a definite length that can be measured. A ray is a portion of a line that has one endpoint and extends endlessly in one direction. We have studied the figure carefully using these definitions.
Complete step-by-step solution:
We have to find the line segment in the given figure. Let us recollect what lines, line segments and rays are. A line has no end points and it extends in both directions endlessly. We can illustrate a line as shown below.
We represent a line as $\overleftrightarrow{AB}$ .
Let us understand what a line segment is. A line segment is a portion of a line that has two endpoints. It is the path between the two points with a definite length that can be measured. Let us illustrate a line segment.
In the above figure, we can see that XY is the line segment. We usually denote the line segment as $\overline{XY}$ .
Now, let us see what a ray is. A ray is a portion of a line that has one end point and extends endlessly in one direction. Let us illustrate a ray.
From the above figure, we can see that XA and XB are rays. We can denote a ray as \[\overrightarrow{XA}\text{ and }\overrightarrow{XB}\] .
Now, let us consider the given figure. We can see that there are no line segments in the given figure.
Hence, the number of line segments is 0.
Note: Students have a chance of making a mistake by writing OM, OP, OT, OP and OS as the line segments due to the labelling at the arrow part. From the given figure, we can see that OM, OP, OT, OP and OS are the rays and MT is a line. Line segments are used to create polygons.
Complete step-by-step solution:
We have to find the line segment in the given figure. Let us recollect what lines, line segments and rays are. A line has no end points and it extends in both directions endlessly. We can illustrate a line as shown below.
We represent a line as $\overleftrightarrow{AB}$ .
Let us understand what a line segment is. A line segment is a portion of a line that has two endpoints. It is the path between the two points with a definite length that can be measured. Let us illustrate a line segment.
In the above figure, we can see that XY is the line segment. We usually denote the line segment as $\overline{XY}$ .
Now, let us see what a ray is. A ray is a portion of a line that has one end point and extends endlessly in one direction. Let us illustrate a ray.
From the above figure, we can see that XA and XB are rays. We can denote a ray as \[\overrightarrow{XA}\text{ and }\overrightarrow{XB}\] .
Now, let us consider the given figure. We can see that there are no line segments in the given figure.
Hence, the number of line segments is 0.
Note: Students have a chance of making a mistake by writing OM, OP, OT, OP and OS as the line segments due to the labelling at the arrow part. From the given figure, we can see that OM, OP, OT, OP and OS are the rays and MT is a line. Line segments are used to create polygons.
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