no they don't
Yes. Any even sided figure will have a rotational symmetry. Yes. If it is a regular shape such as a square, hexagon or octagon (equilateral and equiangular) then the rotational symmetry is the same as the number of sides. Rotational symmetry is basically if the shape is rotated, is it exactly the same as it was before. A hexagon can be rotated 6 times and still be the same without actually being in the the same postition, so a hexagon has a rotational symmetry of 6.
Oh, what a happy little question! A kite does indeed have rotational symmetry. Just like how you can turn a kite and it still looks the same, it has rotational symmetry. Keep exploring and creating, my friend!
There are infinitely many such shapes:Take any odd-sided regular polygonMove one vertex away from the side opposite it in a perpendicular direction any distance you like.The resulting shape has one line of symmetry (from the vertex moved to the centre of the opposite side) and no rotational symmetry.Done to an equilateral triangle (a regular "3-agon") this creates an isosceles triangle.
An oval typically has two lines of symmetry, which means it has an order of rotational symmetry of two. This means that the oval looks the same after a 180-degree rotation. The center of rotation would be the point where the two axes of symmetry intersect. The oval does not have any other rotational symmetries due to its asymmetrical shape.
Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.
Yes. Any equilateral shape can have both rotational and line symmetry.
Yes
Yes. Any even sided figure will have a rotational symmetry. Yes. If it is a regular shape such as a square, hexagon or octagon (equilateral and equiangular) then the rotational symmetry is the same as the number of sides. Rotational symmetry is basically if the shape is rotated, is it exactly the same as it was before. A hexagon can be rotated 6 times and still be the same without actually being in the the same postition, so a hexagon has a rotational symmetry of 6.
An arrowhead shape has one line of rotational symmetry. This line runs vertically down the center, allowing the shape to be rotated 180 degrees to look the same. It does not have any other lines of symmetry.
An arrowhead shape typically exhibits rotational symmetry of order 1, meaning it looks the same only when rotated by 360 degrees. It does not possess any rotational symmetry at smaller angles, as rotating it by any degree less than 360 will not align it with its original orientation. Thus, while it has symmetry in its overall shape, it lacks multiple rotational symmetries.
Any shape which, when rotated through 180 degrees appears to be the same as the original.
An isoceles triangle does not have rotational symmetry.
They have not got any rotational symmetry
No, the letter S does not have rotational symmetry. Rotational symmetry means that an object looks the same after being rotated by a certain angle. When the letter S is rotated, it does not match its original shape at any angle other than a full 360 degrees.
Yes, a kite has rotational symmetry. Specifically, it has rotational symmetry of order 1, meaning it can be rotated 180 degrees around its center and still look the same. However, it does not have symmetry at any other angle. The two pairs of adjacent sides are equal, contributing to its unique shape and symmetry.
The shape that has no lines of symmetry and rotational symmetry order 4 is a scalene triangle. A scalene triangle is a triangle with three unequal sides and three unequal angles. It does not have any lines of symmetry because its sides and angles are not equal, and it has rotational symmetry of order 4 because it looks the same after being rotated by 90, 180, or 270 degrees.
A shape with two-fold rotational symmetry looks the same after a rotation of 180 degrees. An example of this is a rectangle, which appears unchanged when rotated halfway around its center. Other shapes, like certain types of isosceles triangles and some polygons, also exhibit this symmetry. Essentially, any shape that can be flipped upside down and still match its original appearance has two-fold rotational symmetry.