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Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
What are the rotational symmetry of a 5 sided shape?
If it is a regular 5 sided pentagon then its order of rotational symmetry is 5
A shape with order 4 of rotational symmetry and has 4 lines of symmetry?
A square
What is the number of degrees a figure rotates called?
It is called its order of rotational symmetry depending on its shape as for example a square has rotational symmetry to the order of 4 because it returns to its same shape every time of a turn of 90 degrees and so 360/90 = 4
Can a shape have rotational symmetry and line symmetry?
Yes. Any equilateral shape can have both rotational and line symmetry.
What shape has order of rotational symmetry but no lines of symmetry?
no shape does! * * * * * Not true. A parallelogram has rotational symmetry of order 2, but no lines of symmetry.
What shape has a rotational symmetry of order 1?
none shapes have 1 rotational symmetry because in rotational symmetry one is none
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
A polygon with Rotational symmetry order of 3 is?
A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3
What shape has order of rotational symmetry 2?
A rectangle
What are the rotational symmetry of a 5 sided shape?
If it is a regular 5 sided pentagon then its order of rotational symmetry is 5
A shape with order 4 of rotational symmetry and has 4 lines of symmetry?
A square
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 for a regular hexagon?
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.
What shape has rotational symmetry order 2?
A rectangle
What is the number of degrees a figure rotates called?
It is called its order of rotational symmetry depending on its shape as for example a square has rotational symmetry to the order of 4 because it returns to its same shape every time of a turn of 90 degrees and so 360/90 = 4
What is a shape with rotational order of 3 and 0 lines of symmetry?
Triangle * * * * * The only triangle with rotational symmetry of order 3 is an equilateral triangle and that has 3 lines of symmetry, not 0. The triskelion (the three legs) on the Isle of Man flag has rotational symmetry of order 3 but no lines of symmetry.
