Subscribe to our YouTube channel for the latest videos, updates, and tips.


Points and Line Segment

We will discuss here about points and line segment.

POINT: 

A point is basically a dot (). It is just a mark and has no length. A point is named by a single capital letter. For example, this point is called point X.

Point X

We know when two lines meet we get a point.

Two Lines Meet

When two points on a plane surface are joined, a straight line segment is obtained.

But if two points in a curved surface is joined, a curved line segment is drawn.

Straight Line Segment

When a line segment is extended towards both sides unlimitedly it becomes a line. 

We make arrows on both end sides of a line segment to represent a line. 

Represent a Line


Now we may say that a part of the line is known as the line segment. If there is a line l, then AB is a line segment. 

The Line Segment


A line segment is named by using the names of its endpoints. Then line segment drawn on the side is called line segment AB or line segment BA.

Line Segment AB

A line does not have any fixed length it has infinite length. But a line segment has a fixed length. We may imagine a line as it has unlimited length but a line segment is drawn on a plane paper.

The core of a cuboid or cube is an example of a line segment. 


Definition of Line Segment:

When two points are joined, the shortest distance between them is called the line segment between those two points.

For example, let us join points X and Y. We can join them in many ways as shown by lines 1, 2 and 3 in the figure given below.

Curved Lines and Straight Line

Lines 1 and 3 are curved lines, and line 2 is a straight line.

Can all the three lines be called line segments?

No. Out of lines 1, 2 and 3, line 2 is the shortest.

So, line 2 is the line segment XY. It is written as \(\overline{XY}\).


Note: You can take a thread and actually measure the lengths of lines 1, 2 and 3.


We can say that when two points are joined by a straight line, a line segment is formed.

Hence, a line segment has a starting and an end point.


There are many line segments in the following figures:

Many Line Segments

Note: Line segments may be joined to form geometric figures.


What is one dimensional figure?

A line or a line segment is called one dimensional (1-D) figure.



Types of lines

There are two types of lines.

(i) Straight line              

(ii) Curved line

Straight Line: If a line shows only one direction, then it is a straight line. It may be vertical, horizontal or slant.

Vertical Horizontal or Slant


Tom can hear Rita very well over the paper cup telephone. The string between them is held tight and straight

Paper Cup Telephone Straight Line

Straight lines can be standing lines, sleeping lines or slanting lines. Join the dots to make straight lines.

Standing Lines
Sleeping Lines
Slanting Lines

Standing Lines

Sleeping Lines

Slanting lines

Designs formed by straight lines

Closed shapes formed by straight lines

Join the dots to create your own designs and shapes.


Aaron cannot hear David at all. The string between them is held by loosely in a curve.

Paper Cup Telephone Curved Line
Closed Shapes Formed by Curved Lines
Curved Lines with Open Ends

Curved lines with open ends

Closed shapes formed by curved lines


Curved line:

It changes its direction.

Curved Line

If you hold the two edges of the string in your hands loosely, it will look like as shown below in the picture.

Curved Line Example

This is an example of a curved line.



Straight Line Example

Straight Line


Curved Line Example

Curved Line


To draw a curved line take a piece of paper. Place a bangle on the paper and draw a line as shown in the picture below. You get a curved line.

Draw a Curve Line


Points, lines and line segment are the fundamental concepts in geometry.


Worksheet on Points and Line Segment:

1. Join the number and letter pairs with straight lines and see if you get a curve somewhere.

Join the Number and Letter Pairs

If you got that right, you should have a design that looks like this:

Straight Lines to Curve


2. Join the dots using a curved line.

Join the Dots using a Curved Line



3. Trace over the dotted lines according to the following colour code.

Trace Over the Dotted Lines

Slanting lines: Blue

Standing lines: Yellow

Sleeping lines: Red

Curved lines: Green


4. Join points A to K. How many points are there?

How many points are there?


Answer:

4. 11 points


5. Mark 5 points in the box given below and name them.

Blank Answer Box

You might like these

● Geometry




2nd Grade Math Practice

From Points and Line Segment to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  3. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  4. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  5. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More