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A "pure" trapezoid (a pair of parallel sides and two random sides) does not have rotational symmetry. If it is a parallelogram then it has a 180 degree symmetry. And if the paralloelogram happens to be a square, you have 90 deg symmetry.

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14y ago
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7y ago

A trapezoid does not have rotational symmetry.

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Q: If a trapezoid has rotational symmetry what is the angle of rotation?
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If a square has rotational symmetry what is the angle of rotation?

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Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.


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Does a regular polygon have rotational symmetry?

Yes, because if a regular polygon is turned around a specific point (the angle of rotation) and matches up again, it has rotation symmetry. For example, a hexagon is a regular polygon with six sides. All sides are the same length and the same size. When you turn it around the angle of rotation, it matches with the next side. Therefore, all regular polygons have rotational symmetry. Hope this helps!


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