3
QuizMultiple Choice

Symmetry

Question 3 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

Answer
A
12°
B
45°
C
72°
D
90°

Explanation

A regular 15-sided polygon matches itself after each rotation of 360° ÷ 15 = 24°, or any whole-number multiple of 24°. Since 72° = 3 × 24°, it is a possible angle of rotational symmetry. The other choices are not whole-number multiples of 24°.

AI-written and checked against the verified answer.

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