Circles
Symmetry
Circles have both reflectional and rotational symmetry. The reflectional symmetry of every circle is an infinite number of lines through the center point. The rotational symmetry of every circle is an infinite number of degrees about the center point.
Example State the symmetry for the circle modeled by the equation:
Example State the symmetry for the circle modeled by the equation:
Step 1. State the center.
The center of the circle is: (2, 4)
Step 2. State the reflectional symmetry.
This circle has an infinite number of lines of symmetry through the point (2, 4).
Step 3. State the rotational symmetry.
This circle has an infinite number of degrees of rotational symmetry around the point (2, 4).