In everyday life, we find many objects with perfect, properly balanced shapes. One of the key factors behind it is symmetry.
To understand this better, let us say you have a square sheet of cardboard. Draw a line through its centre, which is parallel to any of its sides. If you fold it along that line, you will see that the two halves are mirror images of each other, and the line at the centre is called the line of symmetry.
Now, a shape can have many lines of symmetry. The more lines of symmetry a shape has, the better balanced it is.
In this chapter, we will explore the concept of symmetry in detail. Here are a few topics we shall cover:
Identifying Lines of Symmetry in Given Figures
Figures with Multiple Lines of Symmetry
Reflection and Symmetry
Types of Symmetry
Some common shapes and their lines of symmetry.
Let us get started.
As we discussed earlier, a line of symmetry divides the figure such that the two halves are mirror images of each other. With careful observation, you will be able to observe such lines.
Let us understand this with the help of a few problems.
Problem 1: For the given figure, which one is the line of symmetry, l1 or l2?
Solution: If you try to fold the figure along l1, you’ll realise that the two parts will not
overlap. Therefore, l1 cannot be the line of symmetry.
However, the two parts will overlap if you fold the figure along l2. Thus, you can define l2 as the line of symmetry.
Problem 2: List any four symmetrical objects found in your home or at school.
Solution:
Notebook
Bangles
Blackboard
Kite
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