Question

question 10 (multiple choice worth 1 points) (transformations mc) the given image is rotated about its center. what is the order of rotational symmetry and the angle of rotation for the given figure? order = 180, angle of rotation = 2° order = 2, angle of rotation = 180° order = 360, angle of rotation = 1° order = 1, angle of rotation = 360°

Explanation:

Step1: Recall the formula for rotational symmetry

The formula for the angle of rotation is \(\theta=\frac{360^{\circ}}{n}\), where \(n\) is the order of rotational symmetry.

Step2: Analyze the given figure

The figure has 2 - fold rotational symmetry. When we rotate it by \(180^{\circ}\), it maps onto itself. Using the formula \(\theta=\frac{360^{\circ}}{n}\), if \(n = 2\), then \(\theta=\frac{360^{\circ}}{2}=180^{\circ}\)

Answer:

Order = 2, angle of rotation = \(180^{\circ}\)