What is the smallest angle of rotational symmetry for a square?
In Mathematics, symmetry states that one shape is identical to the other shape when it is moved, rotated, or flipped.
Answer: The smallest angle of rotational symmetry for a square is (b) 90º
We will use the concept of rotational symmetry to find the smallest angle for a square.
When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry. Rotational symmetry exists when a shape is turned, and the shape is identical to the origin.
We know that the order of rotation for a square is 4.
Hence, we have 360/4 = 90º
Thus, the angle of rotational symmetry of square is
- 90º + 90º = 180º
- 180º + 90º = 270º
- 270º.+ 90º = 360º
Hence, the minimum angle of rotational symmetry is 90º.