
Use the following figure to name:
[1] Five points
[2] A line
[3] Four rays
[d] Five line segments
Answer
570.3k+ views
Hint: Recall the definitions of a point, a ray, a line segment and a line. Using the definitions determine from the figure five points, a line, four rays and five line segments from the given diagram.
Complete step by step answer:
Before solving the question, we need to understand the definitions of the various terms involved, Although there is no particular complete definition in mathematics to define a point, a line in mathematics, we give the definitions of these terms so as to give a rough idea of what they are.
[1] Point: A points is a geometrical figure that has no size, i.e. no breadth, no width and no height
[2] A line: A line is defined as a line of points extending infinitely in both directions. If two points A and B are on a line then the corresponding line is denoted as $\overleftrightarrow{AB}$.
[3] A line segment: The shortest distance between two points is called a line segment. It is the part of a line that joins the two points. If a line segment has the end points as A and B, then the corresponding line segment is denoted as $AB$
[4] A Ray: A ray is a line of points extending in one direction only, i.e. A ray has one endpoint. If the endpoint of the ray is A and B is any other point on the ray, then the corresponding ray is denoted as $\overrightarrow{AB}$
Keeping these definitions in mind, we have
[1] Five points in the above diagram are: B, C, O, E and D
[2] A line in the above diagram is: $\overleftrightarrow{BD}$
[3] Four rays in the above diagram are: \[\overrightarrow{ED},\overrightarrow{OD},\overrightarrow{OC}\] and $\overrightarrow{OB}$
[4] Five line segments in the above diagram are: $BO,BE,BD,OE,OD$
Note: [1] The mathematical representations of a ray, a line segment and a line are very important to avoid confusion. There can be a possible confusion in ray $BD$ and line BD, if we used similar notations for both of them. We should remember these representations.
Complete step by step answer:
Before solving the question, we need to understand the definitions of the various terms involved, Although there is no particular complete definition in mathematics to define a point, a line in mathematics, we give the definitions of these terms so as to give a rough idea of what they are.
[1] Point: A points is a geometrical figure that has no size, i.e. no breadth, no width and no height
[2] A line: A line is defined as a line of points extending infinitely in both directions. If two points A and B are on a line then the corresponding line is denoted as $\overleftrightarrow{AB}$.
[3] A line segment: The shortest distance between two points is called a line segment. It is the part of a line that joins the two points. If a line segment has the end points as A and B, then the corresponding line segment is denoted as $AB$
[4] A Ray: A ray is a line of points extending in one direction only, i.e. A ray has one endpoint. If the endpoint of the ray is A and B is any other point on the ray, then the corresponding ray is denoted as $\overrightarrow{AB}$
Keeping these definitions in mind, we have
[1] Five points in the above diagram are: B, C, O, E and D
[2] A line in the above diagram is: $\overleftrightarrow{BD}$
[3] Four rays in the above diagram are: \[\overrightarrow{ED},\overrightarrow{OD},\overrightarrow{OC}\] and $\overrightarrow{OB}$
[4] Five line segments in the above diagram are: $BO,BE,BD,OE,OD$
Note: [1] The mathematical representations of a ray, a line segment and a line are very important to avoid confusion. There can be a possible confusion in ray $BD$ and line BD, if we used similar notations for both of them. We should remember these representations.
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