**Definition of Point of Symmetry**

- If a figure or graph is rotated about a point by 180° and yet looks identical to its original, that point is called the Point of Symmetry.

**More about Point of Symmetry**

- If a figure has a point of symmetry, then its order of rotational symmetry will be 2.

**Example of Point of Symmetry **

- In the figure, a rectangle is rotated 1800 by a point.

The rectangle obtained after rotation matches with the original rectangle.

So, the point with which the rectangle is rotated is called the point of symmetry.

**Solved Example on Point of Symmetry**

Which of the figures has a point of symmetry?

Choices:

A. Graph 1

B. Graph 2

C. Graph 3

D. none of the above

Correct Answer: A

Solution:

Step 1:A figure or a graph when rotated by 180° looks similar to its original, it is said to have a point of symmetry.

Step 2:When Graph 1 is rotated through 180°, it matches the original figure.

Step 3:So, Graph 1 has point of symmetry.

**Related Terms for Point of Symmetry**

- Point
- Rotation
- Rotational Symmetry
- Symmetry