Point symmetry exists when the figure is drawn around a single point.
This point is called the centre of the figure or the centre of the symmetry. In the adjoining figure, we observe that corresponding to point X on the figure, there exists a point X’ on the other side of the centre which is directly opposite to X and lies on the figure. We say that the figure is symmetry about the centre.
When we rotate a figure about 180° and it regains its originals shape, then we say that point symmetry exists in the figure.
Examples of the figures exhibiting point symmetry:
● All letters of the English alphabet.
● Different geometrical figures.
Here, O is the centre of symmetry.
With respect of X there exists X’, such that X’ is directly opposite to X on the other side of O.
What are the conditions that a shape or a figure satisfies for point symmetry?
The conditions that a shape or a figure satisfies for point symmetry i.e. every part should have a matching part
• the distance should be equal from the central point
• but should be in the opposite direction.
● Related Concepts