Points, Lines and Shapes

Definition of points, lines and shapes in geometry:

Point: A point is the fundamental element of geometry. If we put the tip of a pencil on a paper and press it lightly, we see a very small mark on the paper. This mark is known as a point.

The smallest mark denotes the existence of a point. We say that a point does not have any length, breadth or thickness, but it has a definite position.

Existence of a Point

It can be named by a capital letter of the English alphabet like A, B, C, ……. etc.

In short, we can make a small dot on a paper by using a sharp pencil or a tip of the needle. It is called a point. It represents a position and is marked by a capital letter A, B, C etc. A point has no size or shape. So, on a line an infinite number of points exist.

Solved Examples on Points:

1. How many points are marked in the given figure?

How Many Points are There?


There are 8 points marked in the figure i.e., A, B, C, D, E, F, G, H

Line: If two points are made at a distance on a surface and are joined by a pencil then a part of a line is formed. The part of the line will be straight if the surface is plane and curved if the surface is curved.

Part of a Line
The Part of the Line

Thus, if we join any two points with a ruler and extend it on both sides, a line is formed.

A line is indicated by drawing arrow-heads on both sides of the part of a line.

The arrow-heads at the ends indicate that the line goes on in both directions. A line has no end, so it has not a definite length.

Line has no End

The name of a line is indicated by two capital letters of the English alphabet.

The symbol ↔ is placed over the letters as AB, CD.

Name of a Line

These explanations on points, lines and shapes will help the kids to understand the different fundamental element of geometry and how they are indicated.

In short, a line is a straight path of points. A line has no beginning or end. A line is named by a single small letter l, m, n, etc. A line is also represented as \(\underset{AB}{\leftrightarrow}\). A line can be straight or curved.

Frequently asked questions on Points, Lines and Shapes in Geometry:

1. What is the definition of a point in math?


A point gives an idea of a location by making a dot by a sharp pencil on a paper. It has no length, breadth and size. A point determines a location. A point has no dimension i.e., no shape or size.

For Example:

(i) The tip of a compass

(ii) The sharpened end of a pencil

(iii) The pointed end of a needle

2. How do you name a point?


A point is denoted by a capital letter of the alphabet like A, B, C etc.

For Example:

Naming a Point

These points will be read as 'point A. 'point B' and 'point C.

3. What is Definition of Line in Maths?


A line is a straight path that extends indefinitely in both directions. It has no end points. It has neither breadth nor thickness.

For Example:

The straight crease formed by folding a piece of paper is a physical example which is quite close to the idea of a line. Other examples are the edge of a ruler, edges of a table, etc.

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Related Concepts

Basic Shapes

Surfaces of the Solids

Common Solid Figures

Line-Segment, Ray and Line

Types of Lines

Geometrical Design and Models

3rd Grade Math Lessons

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