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Q: Is there a relationship between the number of lines of symmetry a shape has and rotational symmetry?

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A circle has an infinite number of angles of rotational symmetry.

It has rotational symmetry of infinite order as well as an infinite number of axes of symmetry.

The rotational symmetry of a plane object is the number of times it will look exactly like its original shape when you rotate it through 360 degrees in its plane. A whole alphabet has no rotational symmetry but some letters in an alphabet may have rotational symmetry. The number of symmetries depends on the alphabet, whether the letters are in upper or lower case as well as the font used.

The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.

It depends on the representation. In this font, number one (1) is not symmetrical. On many digital displays, 2 and 5 have 180 degree rotational symmetry.

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A circle has an infinite number of angles of rotational symmetry.

The number zero has rotational symmetry.

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.

It has rotational symmetry of infinite order as well as an infinite number of axes of 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.

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.

The rotational symmetry of a plane object is the number of times it will look exactly like its original shape when you rotate it through 360 degrees in its plane. A whole alphabet has no rotational symmetry but some letters in an alphabet may have rotational symmetry. The number of symmetries depends on the alphabet, whether the letters are in upper or lower case as well as the font used.

When an image, from a point, can be turned around a certain number of degrees and continue to look the same, it can be said the image has rotational symmetry.

The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.

Yes. Any even sided figure will have a rotational symmetry. Yes. If it is a regular shape such as a square, hexagon or octagon (equilateral and equiangular) then the rotational symmetry is the same as the number of sides. Rotational symmetry is basically if the shape is rotated, is it exactly the same as it was before. A hexagon can be rotated 6 times and still be the same without actually being in the the same postition, so a hexagon has a rotational symmetry of 6.

It depends on the representation. In this font, number one (1) is not symmetrical. On many digital displays, 2 and 5 have 180 degree rotational symmetry.