Question

What is the order of rotational symmetry and angle of rotation for this design?

• A. $4and{90}^o$
• B. $6and{120}^o$
• C. $8and{60}^o$
• D. $8and{45}^o$

Answer 1

Answer: (A)

$4and{90}^o$

On rotating the given shape by ${90}^{\circ }$, the shape remains the same.

Thus the angle of rotation for the given shape is ${90}^{\circ }$.

Also on rotating ${90}^{\circ }$, four times, the shape remains the same on each turn and comes back to its original position. Thus the order of rotational symmetry of the given shape is $4$