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Q: What is the degree of rotational symmetry of a five point star?
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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.


Does a 5 point star have rotational symmetry?

The star can be turned by 72°. Why 72°? The star has five points. To rotate it until it looks the same, you need to make 1 / 5 of a complete 360° turn. Since 1/5 * 360° = 72°, this is a 72° angle rotation. So yes, a five point star has rotational symmetry. :D


How many lines of symmetry does a four point star have?

it has five lines of symmetry


Does a five point star have regular symmetry?

It can but it need not.


What kind of symmetry does a sea hare have?

Their early larvae have bilateral symmetry, but as they get bigger they develop fivefold symmetry. This is apparent in the regular sea urchins, that have roughly spherical bodies, with five equally sized parts radiating out from their central axes.


What are the properties of an irregular pentagon?

It has 5 sides It has 5 angles The sum of the interior angles is 540° All angles are not the same measure The sides may, or may not, all be the same length. It will not have line symmetry of 5 It has no rotational symmetry (called rotational symmetry of 1 when I was at school).


Do polygons have to have one line of symmetry?

The number of lines of symmetry in a polygon corresponds to the number of sides it has. If a polygon has n sides, then its symmetry will be n lines of symmetry and it will have one point of symmetry. A pentagon has five lines of symmetry, nonagon has 9, n-gon has n lines of symmetry, so on and so forth.


Does a regular pentagon have any lines of symmetry?

YES!!! THere are five lines of symmetry. From any one point to the centre of opposite side. If drawn accurately all five lines should pass through the centre.


What is the shape of all echinoderms?

Echinoderms have a radial symmetry, typically with five arms or multiples of five. This symmetry allows them to exhibit equal parts branching out from a central point, resembling a star shape.


Why are starfish said to have pentaradial symmetry?

because all of their legs and things are centered around a middle point :)


If a shape is a regular pentagon with five sides what must be true?

It has reflectional symmetry It has five lines of symmetry It is symmetrical


Does a pentagon have line symmetry?

In general, no. But it can have one or five lines of symmetry.