Question

identifying rotational symmetry
the rectangle has rotational symmetry of order
the rectangles rotational symmetry occurs for angles of
degrees.

Explanation:

Step1: Recall the definition of rotational symmetry order

The order of rotational symmetry is the number of times a shape fits onto itself during a \(360^{\circ}\) rotation. For a rectangle, when rotated \(180^{\circ}\), it looks the same as the original. When rotated \(360^{\circ}\), it also looks the same. So the order is \(2\) (because \(360\div180 = 2\)).

Step2: Determine the angle of rotational symmetry

The angle of rotational symmetry \(\theta=\frac{360^{\circ}}{n}\), where \(n\) is the order of rotational symmetry. Since \(n = 2\), \(\theta=\frac{360^{\circ}}{2}=180^{\circ}\)

Answer:

The rectangle has rotational symmetry of order \(2\). The rectangle's rotational symmetry occurs for angles of \(180\) degrees.