Question

determine whether the figure has rotational symmetry. if so, state the order and the magnitude. 10. order? if no rotational symmetry, type n/a. 11. magnitude? if no rotational symmetry, type n/a

Explanation:

Step1: Check for rotational symmetry

A figure has rotational symmetry if it looks the same after a rotation about a point by an angle less than 360°. The given figure (a rectangle with diagonals) can be rotated 4 times (at 90 - degree intervals) to look the same.

Step2: 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, the order is 4.

Step3: Calculate the magnitude

The magnitude of rotational symmetry is the smallest angle of rotation for which the figure looks the same. The formula is $\frac{360^{\circ}}{\text{Order}}$. So, $\frac{360^{\circ}}{4}=90^{\circ}$.

Answer:

1. 4
2. 90°