Which figure has an order 3 rotational symmetry?

right triangle
equilateral triangle
regular hexagon
right trapezoid

1 answer

An figure that has an order 3 rotational symmetry can be rotated 120 degrees around its center and still look the same, meaning it can be rotated three times (including the original position) to complete a full rotation of 360 degrees.

Among the options given:

  • Right triangle: does not have rotational symmetry.
  • Equilateral triangle: has order 3 rotational symmetry (120 degrees).
  • Regular hexagon: has order 6 rotational symmetry.
  • Right trapezoid: does not have rotational symmetry.

Therefore, the figure that has an order 3 rotational symmetry is the equilateral triangle.

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