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What is a symmetrical polygon?
As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.
How many lines of rotation of symmetry does a square have?
Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
Does N have rotational symmetry but no line symmetry?
Yes, the capital letter N has rotational symmetry but no lines of symmetry:
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.
Does a right triangle have lines of symmetry Rotational symmetry?
Not necessarily, except rotational symmetry of order 1.
What quadrilateral has no lines of symmetry but 180 degree rotational symmetry?
how many lines of symmetry has an equilateral triangle
What is a symmetrical polygon?
As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.
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.
How many rotational lines of symmetry does an equilateral triangle have?
Rotational symmetry is based on points of rotation not lines
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.
How many lines of rotation of symmetry does a square have?
Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
Does N have rotational symmetry but no line symmetry?
Yes, the capital letter N has rotational symmetry but no lines of symmetry:
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.
Has a triangle got 2 lines of symmetry and 2 lines of rotational symmetry?
First of all, your grammar is terrible. The question should be "Does a triangle have 2 lines of symmetry and 2 lines of rotational symmetry? and the answer is no. A triangle can not have 2 lines of rotational symmetry, because you only rotate the image, you do not use any lines.
Does a right triangle have lines of symmetry Rotational symmetry?
Not necessarily, except rotational symmetry of order 1.
How can you find rotational symmetry in a matchbox?
A matchbox is rectangular in shape. A rectangle has 2 lines of rotational symmetery. So, a matchbox has 2 lines of rotational symmetry.
Will the number of lines of symmetry for a polygon always be the same as the number of vertices?
No, a polygon can have fewer lines of symmetry.
