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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

Q: How do you know that a figure does not have rotational symmetry?

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

a right triangle

z

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

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

Visual inspection. It's usually pretty obvious.

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 or a sphere

z

a right triangle

A circle and square.