Math, asked by jha2169, 7 months ago

what is line segment​

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Answered by kanishkmaharan98
1

Answer:

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints

Answered by Kushalsai26
0

Answer:

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects to points. A line has no endpoints and extends infinitely in both the direction, but a line segment has two fixed or definite endpoints. Line segment and a ray have a difference that a ray has only one endpoint, which is its starting point.

Most of the shapes that we see around us are either made up of lines or curves. Various geometrical shapes are a combination of these. A one-dimensional collection of points extending infinitely in either direction is a line and any portion of a line which has two endpoints is a line segment.

line segment

The above figure represents a line segment with two endpoints A and B and is denoted by the bar symbol (—) such as AB¯¯¯¯¯¯¯¯. The length of a line segment can be varying and various methods are adopted to measure its length. To compare two or more line segments, a relationship between their lengths is established. Let us discuss these methods one by one.

Line Segment Definition

A line segment has two endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm), or by conventional units like feet or inches.  While learning the concept of lines and angles in Class 7, you will come across the basic terminologies related to it. But in Class 9 the advance version will be described.

A closed line segment consists of both endpoints, whereas an open line segment is exclusive of the two endpoints. A line segment which has exactly one endpoint is called a half-open line segment.

Measuring Line Segment

By Observation

The most trivial method of comparison of two line segments is simple observation. Just by observing two line segments, one can predict which is long or short compared to the other.

Measuring line segment

In the above figure, by observation itself, we can say that the line segment CD is greater in length as compared to the line segment AB. But this method has several constraints, every time we cannot rely simply on observation to compare two line segments.

Using Trace Paper

With the help of trace paper, two line segments can be easily compared. Trace one line segment and place it over on the other segment and it can be easily deduced which is greater in length. For more than two line segments repeat the process again and again.

For precise comparison, the line segments must be traced accurately. Hence this method depends on the accuracy of tracing which puts a limitation of this method.

Using Ruler and Divider

There are certain markings on the ruler beginning from zero as shown in the fig. Given below, these markings divide the ruler into equal parts. Each part is equal to a length of 1 cm and these unit centimeters are further subdivided into 10 parts and each sub-part is equivalent to 1 millimeter.

Line segment by the ruler

To measure a line segment AB, place the zero marking of the ruler along with the beginning of the line and measure its length accordingly.

Construction of Line Segment

Here we will learn to draw a line segment with the help of a compass and measuring ruler or scale.

Let us assume, we need to draw a line segment of length 7cm. Then follow the below-given steps:

Draw a line of any length without a measurement (keeping in consideration of the length of the line segment)

Mark a point P on the line, which will be the starting point of the line segment.

Now using a scale or ruler, locate the pointer of compass 7cm apart from the pencil’s lead.

Again, place the pointer of the compass at point P on the line and with the same measurement mark an arc with the pencil.

Now, mark this point as Q

Hence, PQ is the required line segment of length 7cm.

Hope it helps you

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Step-by-step explanation:

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