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What shape has order of rotational symmetry but no lines of symmetry?
no shape does! * * * * * Not true. A parallelogram has rotational symmetry of order 2, but no lines of symmetry.
Which quadrilateral has line symmetry but no rotational symmetry of order more than 1?
not possible
Is a regular pentagon rotational or reflectional symmetry?
It has both because it has 5 lines of symmetry and rotational symmetry to the order of 5
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.
Show you a shape with 3 lines of symmetry and rotational symmetry with order 3?
An equilateral triangle.
What Quadrilateral which has no lines of symmetry and rotational symmetry order 2?
parallelogram
What quadrilateral has 2 lines of symmetry and rotational symmetry order 2?
A rectangle.
What is the name of the special quadrilateral which has rotational symmetry of order 2 but no lines of symmetry?
parallegram
What quadrilateral has no line of symmetry but has no rotational symmetry?
parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).
What shape has order of rotational symmetry but no lines of symmetry?
no shape does! * * * * * Not true. A parallelogram has rotational symmetry of order 2, but no lines of symmetry.
What quadrilateral has rotational symmetry of order 4?
A square !
Which quadrilateral has line symmetry but no rotational symmetry of order more than 1?
not possible
Does a right triangle have lines of symmetry Rotational symmetry?
Not necessarily, except rotational symmetry of order 1.
What is a shape with rotational order of 3 and 0 lines of symmetry?
Triangle * * * * * The only triangle with rotational symmetry of order 3 is an equilateral triangle and that has 3 lines of symmetry, not 0. The triskelion (the three legs) on the Isle of Man flag has rotational symmetry of order 3 but no lines of symmetry.
Can a figure with two or more lines of symmetry can have rotational symmetry?
Yes. A circle has infinitely many lines of symmetry and it also has rotational symmetry of infinite order.
Can a qadrilateal have only 1 rotational symmetry?
Assuming that qadrilateal is meant to be quadrilateral then the answer is that in general it would have rotational symmetry of order 1.
Is a regular pentagon rotational or reflectional symmetry?
It has both because it has 5 lines of symmetry and rotational symmetry to the order of 5
