A kite is a quadrilateral that has no rotational symmetry but features perpendicular diagonals. In a kite, the diagonals intersect at right angles, but the shape does not exhibit rotational symmetry since it cannot be rotated to match itself at any angle other than a full 360 degrees. Thus, the unique properties of a kite fit the criteria specified.
None.
Assuming the question is about ROTATIONAL symmetry rather than rational symmetry, the answer is none.
The letter "Z" has two lines of rotational symmetry. When rotated 180 degrees, it looks the same, but it does not have any other angles at which it maintains its appearance. Thus, it exhibits rotational symmetry only at this specific angle.
Figures that have rotational symmetry include circles, regular polygons (like squares, equilateral triangles, and hexagons), and three-dimensional shapes such as spheres, cylinders, and cones. A figure exhibits rotational symmetry if it can be rotated around a central point by a certain angle and still look the same as it did before the rotation. The angle of rotation depends on the figure; for instance, a square has rotational symmetry at 90-degree intervals, while a circle has infinite rotational symmetry.
the line of symmetry from the middle
The square has 4 sides and has rotational symmetry of order 4. Also, the angle rotation measurement is 90 degrees.
None.
45
No, a parallelogram does not have rotational symmetry because it cannot be rotated onto itself. Rotational symmetry requires an object to look the same after being rotated by a certain angle.
None. You can rotate a circle by the smallest possible angle that you can think of and it will be an angle of symmetry. And then you can halve that angle of rotation and still have rotational symmetry. And you can halve that angle ...
What is the angle of rotation of alphabet S
A "pure" trapezoid (a pair of parallel sides and two random sides) does not have rotational symmetry. If it is a parallelogram then it has a 180 degree symmetry. And if the paralloelogram happens to be a square, you have 90 deg symmetry.
Yes, it is possible to have a shape that has a line of symmetry but does not have rotational symmetry. An example is the letter "K", which has a vertical line of symmetry but cannot be rotated to match its original orientation.
If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. This figure has rotation symmetry of 72°, and the center of rotation is the center of the figure:
Assuming the question is about ROTATIONAL symmetry rather than rational symmetry, the answer is none.
Yes, a circle has infinite rotational symmetry. This means that no matter how much you rotate a circle about its center, it will look the same at every angle.