Question

1. rotational symmetry? yes no 10. order? if no rotational symmetry, type n/a 11. magnitude? if no rotational symmetry, type n/a

Explanation:

Step1: Define rotational symmetry

Rotational symmetry is when a shape looks the same after a rotation.

Step2: Analyze the given figure

The figure can be rotated by 90 - degree increments and still look the same.

Step3: Determine the order

The order of rotational symmetry is the number of times the figure looks the same during a 360 - degree rotation. For this figure, it looks the same 4 times in a 360 - degree rotation, so the order is 4.

Step4: Calculate the magnitude

The magnitude of rotation is given by $\frac{360^{\circ}}{\text{order}}$. So, $\frac{360^{\circ}}{4}=90^{\circ}$.

Answer:

1. Yes
2. 4
3. $90^{\circ}$