Point Symmetry

Point symmetry, also known as central symmetry, occurs when a figure has a symmetry with respect to a point. This means that if the figure is rotated 180 degrees around the central point, it will look exactly the same as the original figure.

Identifying Point Symmetry

To identify point symmetry in a figure, you can follow these steps:

1. Locate the central point around which the figure may be symmetric.
2. Check if every point on the figure has a corresponding point that is the same distance from the central point but in the opposite direction.
3. If every point has a corresponding point as described in step 2, the figure has point symmetry.

Examples of Point Symmetry

Common examples of figures with point symmetry include:

• A perfect circle
• An equilateral triangle
• A regular hexagon

Study Tips

Here are some tips to help you understand and identify point symmetry:

• Practice drawing figures and identifying their central points and symmetrical properties.
• Use a compass and protractor to create symmetrical figures and visually understand their point symmetry.
• Look for real-life examples of point symmetry in nature, art, and architecture.