Reflection Symmetry

You may have often heard of the term ‘symmetry’ in your day to day life. If any object can be divided into two halves such that one half form  the mirror image of the other half, then the object is known to be Symmetrical. Whereas, if both the halves are not mirror image of each other, then the object is said to be asymmetrical.Symmetric objects are found all around us, in nature, in architecture, in art etc. We are already aware of the different types of symmetry. In this article, we will discuss the line or reflection symmetry.

What is Reflection Symmetry?

Line symmetry is also known as the reflection symmetry. If there exists at least one line that divides a figure into two halves such that one-half is the mirror image of the other half.

  • The line where a mirror can be kept so that one-half appears as the reflection of the other is called the line of symmetry.
  • A figure can have one or more lines of reflection symmetry.
  • The line of symmetry can be in any direction.

Examples of Reflection Symmetry

  • Regular polygons of N sides have N lines of symmetry.
Triangle-Line of Symmetry

Triangle: 3 Lines of Symmetry

Square-Line of Symmetry

Square: 4 Lines of Symmetry

Pentagon-Line of Symmetry

Pentagon: 5 Lines of Symmetry

  • A rectangle has a vertical and a horizontal line of symmetry.

reflection symmetry

  • However, it is not symmetrical across its diagonal.

reflection symmetry

  • At first glance, a parallelogram may look symmetrical. But it is not symmetrical along any of the axes of reflection.

Reflection symmetry

  • Reflection symmetry is also observed in inkblot paper. Pour a few ink and water drop on one side of a paper. Fold the paper into two halves and press it with your palm. Unfold the paper to see symmetric pattern along the line of fold. The line of fold is the axis of reflection.

Reflection symmetry

To learn more about reflection symmetry, download Byju’s The Learning App.

Practise This Question

<Two friends arguing>

Arjun: If a figure can be folded along any line such that one half superimposes the other, it is known as symmetric figure.

Shubh: If you can find a line in the figure which divides it in identical parts, then the figure is always symmetric.