# Point Symmetry

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.

Note:

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.

Note:

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

Linear Symmetry

Lines of Symmetry

Rotational Symmetry

Order of Rotational Symmetry

Types of Symmetry

Reflection

Reflection of a Point in x-axis

Reflection of a Point in y-axis

Reflection of a point in origin

Rotation

90 Degree Clockwise Rotation

90 Degree Anticlockwise Rotation

180 Degree Rotation