Which figure has an order 3 rotational symmetry? right triangle equilateral triangle regular hexagon right trapezoid

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An **order 3 rotational symmetry** means that the figure looks the same after a rotation of 120 degrees (since $$360° ÷ 3 = 120°$$).

Let's evaluate each option:

1. **Right Triangle**: Typically, a right triangle does not have any non-trivial rotational symmetry. It only maps onto itself when rotated by 360°, which is trivial.

2. **Equilateral Triangle**: This shape has rotational symmetry of order 3. It looks identical after rotations of 120° and 240°, besides the trivial 360° rotation.

3. **Regular Hexagon**: While a regular hexagon has rotational symmetries of order 6 (60°, 120°, 180°, etc.), it inherently includes rotational symmetry of order 3 as well (120° and 240° rotations).

4. **Right Trapezoid**: Generally, a right trapezoid does not possess any rotational symmetry apart from the trivial 360° rotation.

**Conclusion:** Both the **equilateral triangle** and the **regular hexagon** have an order 3 rotational symmetry. However, if you need to choose one, the equilateral triangle is the most straightforward example.

**Answer:** Equilateral triangle
An equilateral triangle has an order 3 rotational symmetry.

Which figure has an order 3 rotational symmetry? right triangle equilateral triangle regular hexagon right trapezoid

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