How to Draw a Line Segment Using Ruler and Compass with Steps and Examples
How to Draw a Line Segment?
We all possibly know how to construct the common geometrical shapes like rectangles, triangles, squares, etc. But imagine can you construct these same shapes without using a line segment? No!!! It is certainly not possible to draw these shapes without a line segment. Line segment in itself is an interesting as well as important thing for constructing shapes. Here we will learn how to draw a line segment on a line using different ways.
Note that we can measure the length of a line segment either in metric units such as meters, millimeters, centimeters, or traditional units like inches or feets.
Methods To Construct a Line Segment of a Given Length
We can construct a line segment of any length by following two methods. The two methods are :
Construction of a Line Segment Using Ruler
Construction of Line segment using ruler and compass
Let us understand these two methods in detail below:
Construction of a Line Segment of Length Using a Ruler
Suppose, we have to draw a line segment of length 5 cm. The simplest method to construct a line segment of 5 cm is by using a ruler. Using ruler, we will mark two points which are at a distance of 5 cm from each other. Then, we will name those points as A and B and join them. By joining the two points i.e. A and B, we will get a line segment AB of length 5 cm.
However, it should be noted that if we do not look straight down at the ruler while constructing a line segment, we might end up with an incorrect distance. A more accurate method of constructing line segments of length 5 cm is described below.
Construction of Line Segment Using a Ruler and a Compass
Following are the steps of construction which we have to follow if we are asked to construct a line segment of 5 CM
Draw a line of any length. Mark a point A on the line, which can be considered as the initial point of the line segment.
As we have to draw the line segment of 5 cm, we can measure 7cm using ruler and compass.
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Place the pointer of the compass at A and draw an arc of 5 cm on the line which you have drawn in step 1 with the pencil.
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Mark the point B, where the arc and the line intersect each other.
Hence, you will get the line segment AB of length 5 cm.
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How Do We Distinguish a Line Segment From a Line?
A line is what we as a long, stretched out, straight mark on a surface which is illustrated by an arrow at each end depicting that it extends in two directions, unendingly. On the other hand, a line segment refers to a section of something, which means a section or portion of the line, has distinct starting and end.
Key Facts About Line Segment
A line segment is composed of two words i.e. line and segment.
The line has its origin from Latin, Old French and Old English. This implies that the term series and segment that emerges from Latin Segmentum means strip, a section cut off, or segment of earth.
Quiz Time On How To Draw A Line Segment
Question 1: For the Purpose of Drawing a Line Segment of a Given Length, Which of the Given Pairs of Tools are Required?
Ruler and Compass
Ruler and Protractor
Protractor and Divider
Compass and Divider
Answer: Option A. Ruler and Compass are used to draw a line segment.
Question 2: If MN is the Perpendicular Bisector of XY then MN Divides XY in What Ratio?
1: 1
1: 2
1: 4
2: 1
Answer: Option A. It is because that the perpendicular bisector divides the segment into 2 equal parts always. Therefore, MN divides XY in the ratio 1: 1
FAQs on Methods to Draw a Line Segment in Geometry
1. What is a line segment in geometry?
A line segment is a part of a line that has two fixed endpoints and a definite length. Unlike a line, which extends infinitely in both directions, a line segment has:
- Two endpoints
- A fixed measurable length
- No extension beyond the endpoints
2. How do you draw a line segment using a ruler?
To draw a line segment using a ruler, mark two points and connect them with a straight line. Follow these steps:
- Place a ruler on paper.
- Mark the starting point (e.g., A).
- Measure the required length (for example, 5 cm) and mark the endpoint (B).
- Draw a straight line between A and B.
3. How do you draw a line segment of a given length?
To draw a line segment of a given length, use a ruler to measure and mark the exact distance between two points. Steps:
- Draw a starting point A.
- Align the zero mark of the ruler with point A.
- Mark the required length (for example, 7 cm) as point B.
- Join A and B with a straight line.
4. How do you draw a line segment using a compass?
To draw a line segment using a compass, set the compass to the required length and mark the second point from a fixed starting point. Steps:
- Draw a starting point A.
- Set the compass width to the required length (e.g., 4 cm) using a ruler.
- Place the compass needle at point A.
- Draw an arc to mark point B.
- Join A and B with a straight line.
5. What is the difference between a line, a ray, and a line segment?
The difference between a line, ray, and line segment lies in their endpoints and length.
- Line: Extends infinitely in both directions; no endpoints.
- Ray: Has one endpoint and extends infinitely in one direction.
- Line segment: Has two endpoints and a fixed length.
6. Can you give an example of drawing a 5 cm line segment?
Yes, a 5 cm line segment can be drawn by measuring exactly 5 cm on a ruler and joining two marked points. Example:
- Mark point A.
- Place the ruler with zero at A.
- Mark point B at 5 cm.
- Draw a straight line from A to B.
7. How do you measure a line segment?
To measure a line segment, place a ruler along it and read the distance between its endpoints. Steps:
- Align the zero mark of the ruler with one endpoint.
- Ensure the ruler is straight along the segment.
- Read the measurement at the other endpoint.
8. What are the properties of a line segment?
A line segment has two endpoints and a definite measurable length. Its main properties are:
- It has exactly two endpoints.
- It has a fixed length.
- It is the shortest distance between two points.
- It lies on a straight path.
9. Why is a line segment the shortest distance between two points?
A line segment is the shortest distance between two points because a straight path has no curves or bends. In geometry, the direct straight connection between points A and B minimizes the distance, while any curved or broken path will be longer than the straight segment AB.
10. What are common mistakes when drawing a line segment?
Common mistakes when drawing a line segment include incorrect measurement and misalignment of the ruler. Avoid these errors:
- Not starting from the zero mark of the ruler.
- Tilting the ruler while drawing.
- Forgetting to mark clear endpoints.
- Reading the wrong unit (cm instead of mm).
