MathematicsFind the order of rotational symmetry of equilateral triangles.

Find the order of rotational symmetry of equilateral triangles.


  1. A
     2
  2. B
     3
  3. C
     4
  4. D
     5 

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    Solution:

    Concept: We make use of rotational symmetry in this query. The order of rotational symmetry is determined by how many times an object can be wrapped around itself during a 3600-degree revolution.
    Now that we have an equilateral triangle, we have indicated the direction of rotation by denoting the vertices of the triangle with the letter A.
    The equilateral triangle is now rotated by an angle of 1200.
    As a result, we can see that the equilateral triangle maintains its original shape after a 1200 degree rotation. The equilateral triangle is now rotated once again by an angle of 1200. As a result, we can see that the equilateral triangle maintains its original shape after a 1200 degree rotation. The equilateral triangle is now rotated once again by an angle of 1200.
    As a result, we can see that the equilateral triangle maintains its original shape after a 1200 degree rotation. An equilateral triangle will return to its original shape after 1200 rotations. The order of rotational symmetry of an equilateral triangle is therefore 3.
    Hence, the correct answer is option 2.
     
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