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Q: What is a flat figure with 4 lines of symmetry and rotational symmetry of order 4?
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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.


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 shape has no lines of symmetry and rotational symmetry order 4?

A tetrad has rotational symmetry of order 4. It also has no lines of symmetry. It is also known as a swastica.


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.


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 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.


What quadrilateral has order 2 rotational symmetry but no lines of symmetry?

Parallelogram.


What Quadrilateral which has no lines of symmetry and rotational symmetry order 2?

parallelogram


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.


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 many lines of rotational symmetry does a trapezium have?

i am not sure but i think a trapezium has 1 order of rotational symmetry