Q: Order of rotational symmetry of regular hexagon?

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A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflective symmetries (six lines of symmetry).

The regular hexagon's rotational symmetry order is six. This means that the hexagon can be turned 360 degrees and look the same six times. A hexagon is a six-sided figure with six lines of symmetry.

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

No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.

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Related questions

A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflective symmetries (six lines of symmetry).

The regular hexagon's rotational symmetry order is six. This means that the hexagon can be turned 360 degrees and look the same six times. A hexagon is a six-sided figure with six lines of symmetry.

The order of rotational symmetry for a shape is the number of times that it can be rotated so that it appears the same without rotation (e.g. if you rotate an equilateral triangle 60o clockwise it looks the same).For regular polygons, the order of rotational symmetry for the shape is the number of sides that it has. A hexagon has 6 sides so has order of rotational symmetry 6.

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A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.

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

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.

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

A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.

No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.

A hexagon can have rotational symmetry of order 1, 2, 3 or 6.It can have 0, 1, 2 or 6 axes of symmetry.

A hexagon can have rotational symmetry of order 1, 2, 3 or 6.