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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 shape has no lines of symmetry and rotational symmetry order 4?
Ah, what a happy little question! The shape you're thinking of is a scalene triangle. It doesn't have any lines of symmetry, but it does have rotational symmetry of order 4, which means it looks the same after being rotated 90 degrees four times. Isn't that just lovely?
What rotation symmetry does a square have?
The square has 4 sides and has rotational symmetry of order 4.
What is the order of rotational symmetry of octagon?
It can be 1, 2, 4 or 8.
How many lines of symmetry does a five sided shape have?
the shape has 1 side of symmetry
A shape with order 4 of rotational symmetry and has 4 lines of symmetry?
A square
What Shape has an order of rotational symmetry 4 and no symmetry?
If i you dont know how am i ment to know? derr
What shape has rotational symmetry order 4 and 2 lines of symmetry?
A rectangle Written by GREYBAT
What shape has no lines of symmetry and rotational symmetry order 4?
Ah, what a happy little question! The shape you're thinking of is a scalene triangle. It doesn't have any lines of symmetry, but it does have rotational symmetry of order 4, which means it looks the same after being rotated 90 degrees four times. Isn't that just lovely?
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.
Does a square have rational symmetry?
if you mean rotational symmetry then yes, rotational symmetry of order 4
What is the number of degrees a figure rotates called?
It is called its order of rotational symmetry depending on its shape as for example a square has rotational symmetry to the order of 4 because it returns to its same shape every time of a turn of 90 degrees and so 360/90 = 4
Does a square have any turns rotational symmetry?
Yes. A square has rotational symmetry of order 4.
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.
