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.
Oh, dude, line symmetry is when you can fold a shape in half and both sides match up perfectly, like a beautiful butterfly. Point symmetry is basically when a shape looks the same even after you give it a little spin, like a merry-go-round that never gets dizzy. So, like, line symmetry is all about folding, and point symmetry is more about twirling.
The square has 4 sides and has rotational symmetry of order 4. Also, the angle rotation measurement is 90 degrees.
Yes a rhombus has 2 lines of symmetry. These lines of symmetry join its opposite corners.
The quadrilateral would have to be a parallelogram which is not also a rectangle or a rhombus.
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.
Yes. A circle has infinitely many lines of symmetry and it also has rotational symmetry of infinite order.
It has rotational symmetry order 2. Its is also known as a diamond and is a special type of rectangle
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.
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
3- If an equilateral triangle has 3 equal sides, it also has 3 orders of rotational symmetry.
Oh, dude, line symmetry is when you can fold a shape in half and both sides match up perfectly, like a beautiful butterfly. Point symmetry is basically when a shape looks the same even after you give it a little spin, like a merry-go-round that never gets dizzy. So, like, line symmetry is all about folding, and point symmetry is more about twirling.
The square has 4 sides and has rotational symmetry of order 4. Also, the angle rotation measurement is 90 degrees.
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.
Identical construction across a boundary, e.g. a line. There is also rotational symmetry.
Yes. It has two lines of symmetry - horizontal and vertical. It also 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.
A lower-case 'h' has rotational symmetry. An upper-case 'H' also has reflective symmetry.