Question

Does this picture have rotational symmetry? How do you know?

A.No, because you cannot divide it in half.
B.Yes, because if you turn, it remains exactly the same.
C.No, because it looks different on how you rotate it.
D.Yes, because it has lines on it already.

Answer 1

Hint: Here, first we should know what is rotational symmetry, and then analyse the picture of the umbrella. The shape of an umbrella has rotational symmetry but when we rotate it, it doesn’t seem to have the rotational symmetry.

Complete step by step answer:
Here, we are given the picture of an umbrella. Now, we have to check whether this picture have rotational symmetry or not.
For that, first we will discuss the rotational symmetry.
We know that a rotational symmetry is the property a shape has when it looks the same after the rotation by a partial turn. An object’s degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
Here, we have the picture of an umbrella. The shape of an umbrella has rotational symmetry since it looks the same after the rotation by a partial turn that is of less than one full twin. So, the umbrella picture does not have the rotational symmetry, since it will look different on how we rotate it.
Therefore, we can say that the picture of the umbrella given will look different when we rotate it even though the shape has the rotational symmetry
Hence, we can say that the correct answer for this question is option (c).

Note: We can check whether the picture has a rotational symmetry or not by the line of symmetry. The line of symmetry is the imaginary line where you could fold the image and have both halves match exactly. The lines of symmetry can be in any direction.