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Assuming the question is about ROTATIONAL symmetry rather than rational symmetry, the answer is none.
Kite
A squashed open box? Alternatively, a right-angle trapezium: ............................ .-------------....... .|..................\...... .|...................\..... .|....................\.... .|......................\.. .-----------------. ............................
An arrowhead
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.
45
None.
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.
To find the smallest angle of rotational symmetry for a figure, divide 360 degrees by the number of rotational symmetries of the figure. The result will give you the smallest angle of rotational symmetry.
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.