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What quadrilateral has no line of symmetry but has rotation symmetry?

A rhombus is a quadrilateral that has no line of symmetry but has rotation symmetry. Rotation symmetry means that the shape can be rotated by a certain degree and still look the same. In the case of a rhombus, it has rotational symmetry of order 2, meaning it can be rotated by 180 degrees and still appear unchanged.


Does z have rotational symmetry but no line symmetry?

The letters H and Z have both line symmetry and rotational symmetry


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 quadrilateral have a line of symmetry?

YES, a quadrilateral does have a line of symmetry.


What type of symmetry does a two fold line have?

It has rotational symmetry of order 2.

Related Questions

What quadrilateral has no line of symmetry but has no rotational symmetry?

parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).


What quadrilateral has line of symmetry but no rotational symmetry?

A kite, for example.


What quadrilateral that has neither line symmetry or rotational symmetry?

A rhombus


Which quadrilateral has no order of rotational symmetry but one line of symmetry?

A kite, An arrowhead, an isosceles trapezium are three possibilities.


What is a quadrilateral that has neither a line of symmetry nor rotational symmetry?

parallelogram


How many rotational symmetry fold does a line have?

A line has rotational symmetry of order 2.


What quadrilateral has no rotational symmetry but has one line of symmetry?

A kite or an equilateral trapezium.


What quadrilateral has no line of symmetry but more than one rotational symmetry orders?

A parallelogram.


What quadrilateral has no line of symmetry but has rotation symmetry?

A rhombus is a quadrilateral that has no line of symmetry but has rotation symmetry. Rotation symmetry means that the shape can be rotated by a certain degree and still look the same. In the case of a rhombus, it has rotational symmetry of order 2, meaning it can be rotated by 180 degrees and still appear unchanged.


What quadrilateral shape has opposite angles squal but no line of symmetry?

Parrallelogram (it has rotational symmetry but no lines of symmetry)


Is there a quadrilateral with line symmetry and rotational symmetry not more than one?

Yes. a kite is one of them


Does a shape have to be a regular polygon in order to have rotational symmetry?

A line segment would have rotational symmetry.