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Q: What is the order of rotational symmetry of the letter s?
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What is a capital letter that has rotational symmetry?

S


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.


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 lines of reflection symmetry does the letter S have?

None - it has rotational symmetry - not reflection symmetry.


Does the upper case letter s have rotational symmetry?

yes


Which capital letter in the alphabet has rotational symmetry?

The letter "O" has rotational symmetry, as it looks the same when rotated 180 degrees.


Which upper-case letter of the alphabet have rotational symmetry?

There are 10 letters in the alphabet that achieve rotational symmetry when displayed in their capital form. These letters: A, H, I, M, O, U, V, W, X, and Y.


Which two letters have rotational symmetry of order 2 and two lines of symmetry?

Z S H and N


What figure has rotational symmetry but not line symmetry?

A nonrectangular parallelogram has rotational symmetry, but not line symmetry. Additionally, shapes such as the letters S, N, and Z can be rotated to show rotational symmetry, although they do not have line symmetry.


Does 'S' have rotational symmetry of order 2?

In some fonts, yes. But not in all fonts.


How many letters have rotational symmetry?

I, H, N, O, S, X & Z all have rotational symmetry.


Does the letter R have rotational symmetry?

No. The only uppercase letters with rotational symmetry are H I N O S X Z Lowercase are l o s x z (and t depending on how it's drawn)