What is the angle of rotational symmetry when the order is 3?Question 3Select one:a.30°b.60°c.120°d.90°

Break Down the Problem

1. Understand the concept of rotational symmetry: Rotational symmetry refers to the property of a shape that looks the same after a certain amount of rotation.
2. Identify the order of rotational symmetry: The order of rotational symmetry indicates how many times a shape can be rotated to look the same in a full 360° rotation.

Relevant Concepts

3. Calculate the angle of rotational symmetry: The formula for finding the angle of rotational symmetry when the order is $n$ is given by: $\text{Angle} = \frac{360°}{n}$

Analysis and Detail

4. Apply the formula:
   • Given $n = 3$: $\text{Angle} = \frac{360°}{3} = 120°$

Verify and Summarize

5. Verify the calculation: The calculation shows that rotating the figure by 120° three times brings it back to the original position.
6. Summarize the findings: The angle of rotational symmetry for an order of 3 is 120°.

Final Answer

The angle of rotational symmetry when the order is 3 is 120° (c).