Question

multiples of 90
multiples of 30
multiples of 45
what are the angles of rotation for a square?

Explanation:

Step1: Recall the rotation symmetry of a square

A square has rotational symmetry of order 4. This means that when rotated by angles that are multiples of the smallest angle of rotation, it maps onto itself.

Step2: Find the smallest angle of rotation

The smallest angle of rotation for a square is \(90^{\circ}\) (since \(360^{\circ}\div4 = 90^{\circ}\)).

Step3: Determine the multiples

The angles of rotation for a square are multiples of \(90^{\circ}\). So the angles are \(90^{\circ}\times n\), where \(n = 1,2,3,4\) (i.e., \(90^{\circ},180^{\circ},270^{\circ},360^{\circ}\)).

Answer:

The angles of rotation for a square are \(90^{\circ},180^{\circ},270^{\circ},360^{\circ}\), which are multiples of \(90\).