What is the smallest angle of rotational symmetry for a square?
a) 45º
b) 90º
c) 180º
d) 360º

Solution:

In Mathematics, symmetry states that one shape is identical to the other shape when it is moved, rotated, or flipped. 

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 + 90º = 180º
• 180º + 90º = 270º
• 270º.+ 90º = 360º

Hence, the minimum angle of rotational symmetry is 90º.

Thus, the minimum angle of rotational symmetry for a square is 90 degrees.

What is the smallest angle of rotational symmetry for a square?

Summary:

The smallest angle of rotational symmetry for a square is (b) 90º