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 **

● Order of Rotational Symmetry

● 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

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