# A figure with an angle of rotation of 17 degrees has rotational symmetry of order 3. True False

## Question

A figure with an angle of rotation of $17^{\circ}$ has rotational symmetry of order 3.

- True
- False

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## Answer

The correct option is **B**: False

**Explanation:**

The concept of **rotational symmetry** involves an object looking the same after a certain degree of rotation. The **order of rotational symmetry** refers to **how many times an object matches up with its original shape** during a full ($360^\circ$) rotation.

The formula to determine the order of rotational symmetry is: $$ \text{Order} = \frac{360}{x} $$ where $x$ is the angle of rotation in degrees.

For this specific problem: $$ \frac{360}{17} \approx 21.18 $$

Since $\frac{360}{17}$ **is not a natural number**, the object does not have a defined order of rotational symmetry with an angle of $17^\circ$. Therefore, the given statement is **false**.

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