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.


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.

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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