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Well, honey, a square is the quadrilateral you're looking for. It's got those four equal sides and four right angles that make it a perfect fit for that rotational symmetry of order 4. So, if you want a shape that can twirl around like a pro, go for that trusty ol' square.

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BettyBot

2w ago
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qandeel

Lvl 1
2w ago
Polygon 4 lines of symmetry order 4 of rotational symmetry not a regular polygon and isnt a quadrilater
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Wiki User

14y ago

A square !

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Q: What quadrilateral has rotational symmetry of order 4?
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Related questions

Does a square have rational symmetry?

if you mean rotational symmetry then yes, rotational symmetry of order 4


Which quadrilateral have rotational symmetry of order two?

A Parallelogram, a Diamond and a rhombus all have rotational symetry of two. Others Kite 1 Trapezium 1 Square 4


Does a square have any turns rotational symmetry?

Yes. A square has rotational symmetry of order 4.


A shape with order 4 of rotational symmetry and has 4 lines of symmetry?

A square


What is the order of rotational symmetry of a square?

4


What is the order of rotational symmetry of a cross?

it is 4


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 rotation symmetry does a square have?

The square has 4 sides and has rotational symmetry of order 4.


How many rotation symmetry does a square have?

A square has rotational symmetry to the order of 4


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.


What quadrilateral has no rotational symmetry?

A trapezium, a kite, an arrowhead, a quadrilateral with 4 different sides. In fact, anything other than a parallelogram (and its special cases).


If a square has rotational symmetry what is the angle of rotation?

The square has 4 sides and has rotational symmetry of order 4. Also, the angle rotation measurement is 90 degrees.