Question

which of the following rotational symmetries apply to the kite?
rotation applies to the figure?
rotational symmetry of 90° about the origin yes/no
rotational symmetry of 180° about the origin yes/no

Explanation:

Step1: Understand rotational symmetry

Rotational symmetry means that when a figure is rotated by a certain angle around a point (here the origin), it looks the same as the original.

Step2: Check for \(90^{\circ}\) rotation

If we rotate the figure \(90^{\circ}\) around the origin, it will not match the original figure.

Step3: Check for \(180^{\circ}\) rotation

If we rotate the figure \(180^{\circ}\) around the origin, it will match the original figure.

Answer:

Rotational symmetry of \(90^{\circ}\) about the origin: No
Rotational symmetry of \(180^{\circ}\) about the origin: Yes