Question 6 • TX-Mathematical Models with Applications A
A regular polygon with n sides has rotational symmetry of order n, and its smallest angle of rotational symmetry is 360° ÷ n. The octagon has order 8 and a smallest angle of 45°, so A is true and D is false. The dodecagon has order 12, not 10, and its smallest angle is 30°; a 180° rotation is also a multiple of 30°, so B and E are true while C is false.
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