Point Symmetry

Point symmetry, also known as central symmetry, occurs when a figure is rotated 180 degrees around a central point and remains unchanged. This central point is known as the point of symmetry. A figure has point symmetry if it looks the same after a half turn (180 degrees) around its center. This means that every point on one side of the center is at an equal distance from the center on the other side.

Identifying Point Symmetry

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

1. Locate the center of the figure.
2. Check if every point on one side of the center is at an equal distance from the center on the other side.
3. Rotate the figure 180 degrees around the center and see if it looks the same.

Examples of Figures with Point Symmetry

Some common examples of figures with point symmetry include:

• Circle
• Equilateral triangle
• Square
• Pentagon

Study Guide

Here are some key points to remember about point symmetry:

• Point symmetry occurs when a figure is rotated 180 degrees around a central point and remains unchanged.
• The central point is known as the point of symmetry.
• Figures with point symmetry look the same after a half turn (180 degrees) around their center.
• Common examples of figures with point symmetry include circles, equilateral triangles, squares, and pentagons.

Practice identifying point symmetry in various figures to reinforce your understanding of this concept.