Q: What figure does not have rotational symmetry?

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

z

Yes. A circle has infinitely many lines of symmetry and it also has rotational symmetry of infinite order.

When you rotate it around a point found in the middle of the figure 180 degrees. For example, H does have rotational symmetry however, E doesn't

Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.

Related questions

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

A sphere has rotational symmetry of an infinite degree.

yes

yes

The rectangle's rotational symmetry is of order 2. A square's rotational symmetry is of order 4; the triangle has a symmetry of order 3. Rotational symmetry is the number of times a figure can be rotated and still look the same as the original figure.

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.

Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.

A circle and square.

a circle or a sphere

z

Yes. A circle has infinitely many lines of symmetry and it also has rotational symmetry of infinite order.

A figure has rotational symmetry if it can be rotated by a certain angle (less than 360 degrees) and still looks the same. The number of times you can rotate the figure and have it look the same determines the order of rotational symmetry - a square has rotational symmetry of order 4, for example.