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Which of the following figures has rotational symmetry of order 3?
equilateral triangle
What is the order of rotational symmetry of a triangle?
The order of rotational symmetry of a equilateral triangle is three. However, the order of an isosceles triangle is one. So, the rotational symmetry depends on the specific type of triangle figure. However, all figures have at least one order. Rotational symmetry is associated with how a shape can be rotated and retains the same or similar appearance.
How many rotational symmetry fold does a line have?
A line has rotational symmetry of order 2.
What shapes have 1 order of rotational symmetry?
Nothing has 1 order of rotational symmetry because in rotational symmetry 1 is none.
What is the rotational symmetry of a rectangle?
It has rotational symmetry to the order of 2
What is the order of rotational symmetry an octagon?
If it is a regular octagon then it has rotational symmetry to the order of 8
An equilateral triangle has reflectional symmetry but does not have rotational symmetry?
It does have rotational symmetry of order three.
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 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 is the rotational symmetry of a parrallelogram?
A parallelogram has rotational symmetry of order 2.
Does a square have rational symmetry?
if you mean rotational symmetry then yes, rotational symmetry of order 4
What quadrilateral has no line of symmetry but has no rotational symmetry?
parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).
