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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.

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โˆ™ 2011-01-26 03:43:06
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How do you sketch a figure with rotational symmetry but no line symmetry?
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Related questions

If a figure has rotational symmetry does it have line symmetry?

yes


What figure that does not have line or rotational symmetry?

z


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.


Can a figure have line symmetry and not rotational symmetry?

Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.


What figure has both line symmetry and rotational symmetry?

A circle and square.


What type of symmetry does this figure have?

Line


Which figure has line symmetry and rotational symmetry?

Many figures. For example, an ellipse.


How can you tell if a figure has rotational symmetry?

You turn it a quarter to see if it still has a line of symmetry.


Does z have rotational symmetry but no line symmetry?

z has no line of symmetry and it does have rotational symmetry so yes


Does T have rotational symmetry and line symmetry?

It has line symmetry (straight down the center) but not rotational symmetry.


How many rotational symmetry folds does a line have?

A line has rotational symmetry of order 2.


A line has how many rotational symmetry?

A line has 180 degrees rotational symmetry.


What does f have rotational symmetry or line symmetry or both or neither?

F has no symetry : line or rotational symmetry


Does a triangle have a line symmetry rotational symmetry or both?

An equilateral triangle has both line symmetry and rotational symmetry. A non-equilateral isosceles triangle has line symmetry but not rotational symmetry. A scalene triangle has neither kind of symmetry.


Can a shape have rotational symmetry and line symmetry?

Yes. Any equilateral shape can have both rotational and line symmetry.


Does a rectangle have line symmetry without rotational symmetry?

No A rectangle has rotational symmetry as well


Is a smiley face a line symmetry or rotational symmetry?

Line symmetry.


What plane figure has one horizontal symmetry and one vertical line of symmetry and has rotational symmetry?

A rectangle is a possible candidate, as is an ellipse.


Does a can have rotational symmetry or a line of symmetry?

Both.


What quadrilateral has no line of symmetry but has no rotational symmetry?

parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).


What is line and point symmetry?

Line symmetry = Reflection symmetry. Point symmetry = Rotational symmetry.


Does N have rotational symmetry but no line symmetry?

Yes, the capital letter N has rotational symmetry but no lines of symmetry:


What classification of triangle has both line symmetry and rotational symmetry?

Only an equilateral triangle has rotational symmetry.


Which shape line of symmetry but no rotational symmetry?

A semicircle.


What shape has a line of symmetry and rotational symmetry?

circle