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Q: Can a figure have line symmetry and not rotational symmetry?

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yes

z

A nonrectangular parallelogram has rotational symmetry, but not line symmetry. Additionally, shapes such as the letters S, N, and Z can be rotated to show rotational symmetry, although they do not have line symmetry.

A circle and square.

Line

You turn it a quarter to see if it still has a line of symmetry.

Many figures. For example, an ellipse.

A figure has rotational symmetry if you can turn it about a figure.

z has no line of symmetry and it does have rotational symmetry so yes

It has line symmetry (straight down the center) but not rotational symmetry.

A sphere has rotational symmetry of an infinite degree.

A line has rotational symmetry of order 2.

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