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Do all figures with rotational symmetry also have reflection symmetry?
Wiki User
∙ 11y ago
No.
For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
No.
For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
No.
For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
No.
For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
Wiki User
∙ 11y ago
Wiki User
∙ 11y agoNo.
For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
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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.
Is a rhombus symmetrical?
Yes a rhombus has 2 lines of symmetry. These lines of symmetry join its opposite corners.
What type or types of quadrilateral has only rotational symmetry?
The quadrilateral would have to be a parallelogram which is not also a rectangle or a rhombus.
What is the name of a shape with 1 parallel line and 1 symmetry?
You cannot have one parallel line. There must be another line that it is parallel to. Also, 1 symmetry is meaningless - you can have one axis of symmetry or rotational symmetry of order one. The answer will depend on which one it is.
A figure that has matching parts when divided by a line?
A figure that has matching parts when divided by a line is said to have a line of symmetry. These figures are also called symmetrical and their center of gravity lies along the line of symmetry.
What shape has no lines of symmetry and rotational symmetry order 4?
A tetrad has rotational symmetry of order 4. It also has no lines of symmetry. It is also known as a swastica.
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.
How many rotational symmetry does a rhombus have?
It has rotational symmetry order 2. Its is also known as a diamond and is a special type of rectangle
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 is axisymmetry?
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
How many orders of rotational symmetry does an equilateral triangle have?
3- If an equilateral triangle has 3 equal sides, it also has 3 orders of rotational symmetry.
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.
What capital letters have rotational symmetry?
Well, they all have 360 degree rotational symmetry :P Sorry, not helpful.I think these all do: H, I, K(depending on how you write it), N, O, S, X, ZH, I, O, and X have rotational and reflectional symmetry, and N, S, and X also have rotational.
Is the number 0 symmetrical?
Yes. It has two lines of symmetry - horizontal and vertical. It also has rotational symmetry.
How would you define symmetry?
Identical construction across a boundary, e.g. a line. There is also rotational symmetry.
Which letter has rotational symmetry?
yes, it has a rotational symmetry of 180 degrees, and of course 360. like if you flipped it upside down, then put it on top of the other one it would look the same. just not a lowercase.
Does the letter h have reotational symmetry?
A lower-case 'h' has rotational symmetry. An upper-case 'H' also has reflective symmetry.
