Infinity
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A Circle has an infinite number of lines of symmetry.
Infinite lines of symmetry
Infinate.
A circle has an infinite number of lines of symmetry. Any chord of the circle that passes through its center will be a line of symmetry. And there are an infinite number of lines that can be drawn through the center of the circle, the length of which is equal to the diameter of the circle.
A circle (infinitely many lines of symmetry), ellipse, rectangle, and all regular polygons.