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Q: Do all shapes have the same rotational symmetry as its order?
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What us the order of rotational symmetry of letter H?

The letter H has a rotational symmetry of order 2, meaning it looks the same after a 180-degree rotation.


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


How do you know if a figure has rotational symmetry?

A figure has rotational symmetry if it can be rotated by a certain angle (less than 360 degrees) and still looks the same. The number of times you can rotate the figure and have it look the same determines the order of rotational symmetry - a square has rotational symmetry of order 4, for example.


What is the rotational symmetry of the letter U?

The letter U has rotational symmetry of order 1 because it looks the same after a 180-degree rotation.


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


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.


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: ∞