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Difference between line and line segment is that a line can be stretched in both directions indefinitely, but a line segment has two extremities. Every learner encounters the concept 'line' in elementary school level geometry. In geometry, terminology like a point, line, rays, segments, angles, and so on, are frequently used. The line is the most commonly used phrase in your geometry textbook. Both figures vary from rays in that rays have only one terminal and continue in one direction indefinitely. This article provides a quick reference guide to the differences between a line and a line segment.
| Table of Content |
Key terms: Line, Line segment, rays, geometry, infinite, Horizontal Line, Vertical Lines, Perpendicular lines, Parallel lines.
Definition of Line and Line Segment
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Line: A one-dimensional geometrical form is a line. It is characterized as a linear, lengthy, and continuous route illustrated by arrowheads pointing in both directions. It stretches in both ways. A line is the shortest route in a plane between any two locations. Curved, slanted, or unequal figures that will not travel in a straight line are not lines. A lien is a link between two locations, which is the ideal method to describe a line. A line is a basic geometric structure that stretches in both directions; A line segment has two different extremities.
Line Segment: A line segment is a direct line that links two locations. A line segment is always the same length. The minimum difference between adjacent spots may be calculated using a ruler.It has a length but no breadth or depth. A line segment is a section of a line that has distinct ends on both sides (starting and ending points). Lines are continuous on both sides, but a line segment is a section of a line. A line segment is a distance that connects two locations in a single direction. It is the section of a sequence that joins two route endpoints. Endpoints exist on a line segment.
Properties of Line
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- A line extends in both sides to infinite, implying that it has an endless length.
- They do not consist of endpoints.
- A line is a one-dimensional geometrical form with just one dimension, namely length, and no breadth or width.
- At any point, two converging lines will meet at a sole common juncture.
Properties of Line segment
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- A line segment, as opposed to a whole line, is a fractional component of a line with two distinct endpoints.
- Two fixed endpoints comprise a line segment.
- Because a line segment has definite endpoints, its length can be measured.
- A line segment is represented by the line over XY.
Difference Between Line And Line Segment
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There are significant distinctions amongst a line and a line segment. It's critical to grasp what separates a line from a line segment. Let's take a glimpse at a few of the key distinctions among the two phrases.
| Line | Line segment |
|---|---|
| The line has no completion. | The line segment has 2 ends. |
| It is possible to stretch both sides. | The line segment has a beginning and an endpoint, it's doesn't continue in both sides. |
| It lacks a start and end. | It has a start and an end. |
| The line's length cannot be determined. | A line segment's distance can be determined. |
| Many pupils wonder if a line can be sketched on a piece of paper. As well as the simple response is 'No.' | You draw a line on a piece of paper,. |
| The line does not have an endpoint, as stated before in the first point. A line's span is limitless. | A line segment, as stated in the first point, has two ends. The length is fixed. |
| A line is defined as an unbounded, straight, uninterrupted, and lengthy route. | A line segment is a little section of a line. |
| The line is denoted by – AB and a horizontal line with arrows just above AB. | The line segment is denoted by – AB and a vertical line over AB. |
Various Types of Lines
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You already know that a line is endless, has no endpoints, and is constantly straight. It is also important to note that the line appears in a range of forms and dimensions. Tell us about the many sorts of lines in geometric. The four sorts of lines you've probably heard of are:
- Horizontal Line — Horizontal line is a straight line that travels from left to right.
- Vertical Lines - Vertical line is a straight line that travels from top to bottom.
- Perpendicular lines - Perpendicular lines are two lines termed perpendicular to one another if they intersect at a straight angle.
- Parallel lines - Parallel lines are formed when two lines don't ever cross or encounter each other, regardless of how many expansions they receive.
Key Difference Between Line and Line segment
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The contrast among a line and a line segment is described in the accompanying statements:
- The term "line" refers to a straight and lengthy mark on a surfaces that is symbolised by arrows at either end indicating that it extends in both directions indefinitely. Line segment denotes a chunk of something, while line segment denotes a part of a line with a clear beginning and finish.
- A line has no endpoints, unlike a line segment, which begins at one place and terminates at another. Whenever it pertains to span, a line's length is endless and cannot be determined. In contrast, because the line segment has two endpoints, its length is easily calculated. A line segment can be sketched on paper, but a line cannot; it could only be represented.
Things to Remember
- There is no end to the line.
- It is possible to expand both sides of the line at the same time.
- Line lacks a beginning and an end.
- The length of the line is infinite.
- There are two endpoints to the line segment.
- The line segment has a start and an endpoint; it does not extend on both sides.
- Line segment has a beginning and an end.
- The length of a line segment can be calculated.
Sample Questions
Ques A line joining two endpoints is called: (1 mark)
(a) Line segment
(b) A ray
(c) Parallel lines
(d) Intersecting lines
Ans: a
Ques. A straight angle is equal to: (1 mark)
(a) 0°
(b) 90°
(c) 180°
(d) 360°
Ans: c
Ques. Intersecting lines cut each other at: (1 mark)
(a) One point
(b) Two points
(c) Three points
(d) Null
Ans: a
Explanation: Two lines always intersect each other at one point.
Ques If two lines intersect each other, then the vertically opposite angles are: (1 mark)
(a) Equal
(b) Unequal
(c) Cannot be determined
(d) None of the above
Ans: a
Explanation: If two lines intersect each other, then the angles formed at the point of intersection are vertically opposite angles and are equal.
Ques Determine the slope of the lines passing through (3,-2) and (-1,4) (3 marks)
Ans. Line slope through (3,-2) and (-1, 4)
m = \(\frac{y_2 - y_1}{x_2 - x_1}\)
\(= \frac{4 - (-2)}{-1-3}\) \(=\frac{6}{-4} = \frac{-3}{2}\)Ques. If B lies between A and C and AC = 10cm, BC = 5cm, what is AB square 
(2 marks)
Ans. Here B lies between A nad C, and A, B, C are collinear. AC = 10 cm
AC = AB + BC
10 + AB + 5
→ AB = 10 - 5 = 5 cm
AB2 = 52 = 25 cm.
Ques. Draw a triangle with sides 5 cm, 6 cm and 7 cm. Then draw another triangle whose 4/5 sides are y of the corresponding sides of first triangle. (3 marks)
Ans:
- Draw a line segment AB of length 7 cm.
Then using A as centre and distance 5 cm draw an arc C.
Also draw an arc using B as centre and with distance 6 cm, which intersect earlier drawn arc at C. Join AC and BC. - Draw an acute angle BAZ and cut AZ as AA1 = A1A2 = A2A3 = A3A4 = A4A5 and join BA5.
- Through A4 draw a line parallel BA5 intersecting AB at B’.
- Through B’ draw a line parallel to BC intersecting AC at C’. AAB’C’ is the required triangle.
Ques. Given two line segments \(\overline{AB}\) and \(\overline{CD}\) of lengths 7 cm and 4.5 cm respectively, construct a line segment whose length=\(\overline{AB}\)-\(\overline{CD}\). (3 marks)
Ans. 
(1) Draw equal \(\overline{PQ}\)to \(\overline{AB}\)= 7 cm.
(2) Mark off \(\overline{RQ}\)= \(\overline{CD}\)=4.5 cm along \(\overline{PQ}\).
(3) \(\overline{PR}\)=7 - 4.5 =2.5 cm is the required length.
Ques. Draw an isosceles ΔABC in which BC = 5.5 cm and altitude AL = 3 cm. Then construct another triangle whose sides are 3/4 of the corresponding sides of ΔABC. (4 marks)
Ans: Steps of construction:
- Draw BC = 5.5 cm.
- Construct AP the perpendicular bisector of BC meeting BC at L.
- Along LP cut off LA = 3 cm.
- Join BA and CA. Then ΔABC so obtained is the required ΔABC.
- Draw an acute angle CBY and cut 4 equal lengths as BA1 = A1A2 = A2A3 = A3A4 and join CA4.
- Now draw a line through A3 parallel to CA4 intersecting BC at C’.
- Draw a line through C’ and parallel to AC intersecting AB at A’. BA’C’ is the required triangle.
Chapter Related Links:
| Mathematics Study Guide | ||
|---|---|---|
| Trigonometry | Mensuration | Math Study Material |
| Math Formula | Difference between in maths | Algebra |
| Arithmetic | Geometry | Number Systems |
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