Symmetry: Know What is Symmetry in Geometry

Symmetry: In Geometry, when two parts of an image or an object become identical after a flip, slide, or turn then it known as symmetry. In symmetry, half of the image will be equal to the other half of the image. To divide an image or an object into two halves, an imaginary line is drawn in between, and this imaginary line is known as the Line of Symmetry.

On this page, we will provide you with all the necessary information about What is Symmetry, types of Symmetry & Shapes. Read on to find out more.

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What Is Symmetry?

Symmetry Definition: In Mathematics, figures with evenly balanced propositions are known as Symmetry. And Mathematics says that symmetry s are always a mirror image.

Symmetry Example: Look at the image given below. When you are asked to cut the butterfly into 2 equal parts, you will have to draw the imaginary line in between the butterfly and cut them into two equal parts. The butterfly carved out in the below image is an example of symmetry.

Line of Symmetry

An imaginary line that is used to divide an object or image into two or more equal halves is known as the line of symmetry. The object or image can be divided either horizontally, vertically, or even diagonally. There are many types of Line Symmetry and they are:

• 1 Line Symmetry
• 2 Line Symmetry
• 3 Line Symmetry
• 4 Line Symmetry
• Infinite Line Symmetry

1 Line Symmetry

An image or an object which has been divided with the help of only 1 line is known as 1 line symmetry. In the below image you can see that, Alphabet “O” and India Gate have been divided into 2 equal halves with the help of 1 line symmetry.

2 Line Symmetry

A object or an image which has been divided in to equal halves with the help of two lines is known as 2 lines symmetry. As discussed we can divide an image into equal halves either horizontally, vertically or diagonally. In the below image, you can the alphabet letter “H” & “X” have been divided with the help of 2 lines equally and they are symmetrical to each other.

3 Lines Symmetry

An object or an image which has been divided into 3 equal halves with the help of 3 lines are known as 3 Lines Symmetry. In the below image, The triangle has been divided into 3 halves with the help of 3 lines and they are identical to each other.

4 Line Symmetry

Look at the square given below, the following square has been divided with the help of 4 symmetrical lines and all the sides are equal to each other. This is known as 4 lines of symmetry.

Infinite Symmetry Lines

When an object or image is divivde into infinite number of equal parts, then it is known as infinite lines of symmetry. Look at the image given below, the circle has infinite number of symmetrical lines and the opposite sides are equal.

Types of Symmetry

As discussed, symmetry can be seen when an object or image has been flipped, slideded are turned around. The types of symmetry which forms while performing this operations are:

• Rotational Symmetry
• Translation Symmetry
• Reflexive Symmetry
• Glide Symmetry

Rotational Symmetry

Rotational Symmetry is other wise called radial symmetry. When an object is rotated in a particular direction, but the existed shape is identical to the present shape is known as Rotational Symmetry. The example of the Rotational Symmetry are given below:

Translation Symmetry

When an object is moved from one place is to another place, the same orientation will be seen in front and backward motion. When the same orientation is found in front and backward motion when translated then it is known as Translation symmetry. The example of Translation Symmetry is given below:

Reflexive Symmetry

When an object is divided into two equal halves, the one half of the image will be equal to other half. The Butterfly symmetry example provided on this page is example of the reflexive symmetry.

Glide Symmetry

The combination of translation an reflexive symmetry is known as Glide symmetry. Generally, a glide symmetry reflection is commutative. Glide reflection will not be alter even though if we change the combinations order.

Word Symmetry

Look at the word given below. The letter Y acts as line of symmetry here. The opposite sides of letter Y is symmetrical to each other.

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Solved Symmetry Questions

Few Symmetry questions are given below:

Symmetrical Shapes Worksheet

Q. Draw the symmetrical shapes for the following images.

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Now that you are provided with all the necessary information about Symmetry and we hope this detailed article is helpful to you. If you have any queries on Symmetry, ping us through the comment section below and we will get back to you as soon as possible.