A rectangle has two lines of symmetry
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A circle has infinite lines of symmetry, any line going through the center is a line for symmetry.
There are infinitely many such shapes. To start with, any regular will do.
A line of symmetry can be thought of as the line where you could cut a shape (or a line or any object) and it would look the exact same on both sides. An example of a shape with exactly two lines of symmetry would be a rectangle. A square also has at least two lines of symmetry, but it actually has four total.
No ! a parallelogram doesn't have any line of symmetry !
I would think there would be an infinite number of lines of symmetry. Any line passing through the center of the circle, regardless of the angle will be a symmetry line.