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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.

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Q: Does a regular polygon have rotational symmetry?
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Related questions

What regular polygons have rotational symmetry?

All of them have rotational symmetry because all the sides and angles have to be the same in order for the polygon to be a regular polygon


Does a shape have to be a regular polygon in order to have rotational symmetry?

A line segment would have rotational symmetry.


What is another name for equiangular polygon?

Regular polygon Equilateral polygon Polygon with rotational symmetry


What polygon has rotational and line symmetry?

All regular polygons do.


Does a hxagon have rotational symmetry?

Yes, since it is an even-sided regular polygon.


What is a symmetrical polygon?

As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.


What is the rotational symmetry of a regular nonagon?

A regular nonagon with 9 sides has a rotational symmetry of 9.


What regular polygon shows rotational symmetry 9 times within one full rotation?

a nonagon


Does a pentagon have rotational symmetry?

Yes, a regular pentagon has rotational symmetry.


What is a polygon with 90 degree rotational symmetry and no lines of symmetry?

Blue


How do you sketch a figure with rotational symmetry but no line symmetry?

When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3. The general rule for a regular polygon (shapes such as pentagons, heptagons, octagons etc. is, that the number of sides is the same as the number of lines of symmetry, which is also the same as the rotational symmetry order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6. Following from this, then a square, which is a regular polygon, has 4 sides, 4 lines of symmetry and an order of rotational symmetry of 4. If a shape has rotational symmetry, it must have either line symmetry or point symmetry or both. For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry. When there is point symmetry and also rotational symmetry, the order of the latter is even. For example, the letter 'S' has rotational symmetry of order 2, the regular hexagon of order 6. On this basis, we would suggest that the letter 'F' does not have a rotational symmetry order as it does not have either line symmetry or point symmetry. It doesn't have a centre around which you could rotate it. Sounds weird, but given the definitions, we think this is the case.


What is the order of rotational symmetry an octagon?

If it is a regular octagon then it has rotational symmetry to the order of 8