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Q: Do all shapes have the same rotational symmetry as its order?
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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.


How many orders of symmetry does a rectangle have?

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.


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 is the order of rotational symmetry of a triangle?

The order of rotational symmetry of a equilateral triangle is three. However, the order of an isosceles triangle is one. So, the rotational symmetry depends on the specific type of triangle figure. However, all figures have at least one order. Rotational symmetry is associated with how a shape can be rotated and retains the same or similar appearance.


What regular polygons have rotational symmetry?

All of them have rotational symmetry because all the sides and angles have to be the same in order for the polygon to be a regular polygon


Does a shape have to look the same as you rotate it in order for it to have rotational symmetry?

Yes.


Is rotational symmetry order 2 the same as origin symmetry?

How mant de France in liter &kg


How many order of rotational symmetry does a circle have?

The order of rotational symmetry for a circle is infinite. This is because it can be rotated any amount from the middle and it will still look the same. You can use a special sign to show this: ∞


What is an irregular shape?

Irregular shapes have NO lines of symmetry and all the sides are not the same. A regular shape WILL have lines of symmetry and all the sides are the same. * * * * * Wrong! A kite, for example, is an irregular but it has reflective symmetry. A parallelogram is an irregular quadrilateral but has rotational symmetry.


What is Hexagram rotational symmetry order?

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.


Which letter has rotational symmetry?

yes, it has a rotational symmetry of 180 degrees, and of course 360. like if you flipped it upside down, then put it on top of the other one it would look the same. just not a lowercase.


Does a hexagon have rotational symmetry?

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.