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A shape with an order of rotational symmetry of 5 is a regular pentagon. This means that the pentagon can be rotated by multiples of 72 degrees (360 degrees divided by 5) and still look the same after each rotation. Each of the five corners of the pentagon can be the center of rotation, resulting in 5 different rotational symmetries.

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1mo ago
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11y ago

A regular pentagon.

Or a polygon with 5n sides where each nth side and nth angle are congruent. For example a decagon with equal sides 1 and 5, 2 and 7, 3 and 8, 4 and 9 as well as 5 and 10. And similarly the angles.

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Anonymous

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4y ago

A regular pentagon.

Or a polygon with 5n sides where each nth side and nth angle are

congruent. For example a decagon with equal sides 1 and 5, 2 and 7,

3 and 8, 4 and 9 as well as 5 and 10. And similarly the angles.

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Anonymous

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4y ago

pentagon

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Q: What shape has the order of rotational symmetry of 5?
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Related questions

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


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.


Is a regular pentagon rotational or reflectional symmetry?

It has both because it has 5 lines of symmetry and rotational symmetry to the order of 5


What is the order of rotational symmetry of a pentagon?

it is order 5


What is the order of rotational symmetry in a regular pentagon?

Order 5. The shape will fit over itself exactly 5 times during a complete rotation.


What are rotational symmetry?

Rotational symmetry is determining whether a shape has symmetry when it is rotated from the center. For example: if you have a star fish, it does have rotational symmetry because you can rotate the star fish 5 times and their still be symmetry. If the object has rotational symmetry, you then can determine the percentage and order of the ratational symmetry. The percentage is how much out of 100% the object is rotated to find symmetry. The order is how many times it is to be rotated before the object has returned to its origiinal position. Take the star fish example. It can be rotated 5 times (each turn having symmatry). The percentage of rotation would be 20%, and the order would be 5.


What is the order of rotational symmetry of the design shown?

5


Why is it 5 fold symmetry not possible?

A regular pentagon or a 5-pointed star have rotational symmetry of order 5.


What is the order of symmetry of a smiley face?

A smiley face has no rotational symmetry. So the order is 1.


How many rotational symmetry does a fake star have?

it has 5 rotational symmetry


What is the order of rotational symmetry of a regular pentagon?

5, you may think 1 but its actually 5


Is a decagon rotation symmetry?

A decagon can have rotational symmetries of order 1, 2, 5 or 10.