Question

for each figure below, determine if it has rotational symmetry. if it does, give the smallest angle of rotation needed for the figure to appear unmoved. rotational symmetry? yes no angle? ° rotational symmetry? yes no angle? °

Explanation:

Step1: Analyze the first figure (F)

A figure has rotational symmetry if it can be rotated by an angle less than \(360^{\circ}\) and still look the same. For the letter F, no such angle (other than \(360^{\circ}\)) exists. So, it has no rotational symmetry.

Step2: Analyze the second figure (H)

The letter H can be rotated by \(180^{\circ}\) and look the same.

Answer:

For the first figure (F): Rotational symmetry? No.
For the second figure (H): Rotational symmetry? Yes, Angle? \(180^{\circ}\)