Question

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1. b. what are the rotational symmetries for the figure? does the figure have point symmetry?

Explanation:

Step1: Recall rotational symmetry concept

Rotational symmetry is when a figure looks the same after a rotation of \(180^{\circ}\) or less around its center. For an ellipse (the figure is an ellipse - like shape), if we rotate it by \(180^{\circ}\), it maps onto itself. Also, a full - rotation (\(360^{\circ}\)) always maps a figure onto itself.

Step2: Recall point symmetry concept

Point symmetry (also known as \(180^{\circ}\) rotational symmetry) means that for every point \(P\) in the figure, there is a corresponding point \(P'\) such that the center of the figure is the mid - point of the line segment \(PP'\).

Answer:

The rotational symmetries are \(180^{\circ}\) and \(360^{\circ}\). The figure has point symmetry (since it has \(180^{\circ}\) rotational symmetry).