Question

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

Explanation:

Step1: Recall rotational - symmetry concept

The order of rotational symmetry of a shape is the number of times it can be rotated around a central point and still look the same.

Step2: Analyze right - triangle

A right - triangle has no rotational symmetry (except for a rotation of 360° which gives an order of 1).

Step3: Analyze equilateral triangle

An equilateral triangle can be rotated by 120° (360°÷3 = 120°) three times about its center and still look the same. So, it has an order 3 rotational symmetry.

Step4: Analyze regular hexagon

A regular hexagon can be rotated by 60° (360°÷6 = 60°) six times about its center, so it has an order 6 rotational symmetry.

Step5: Analyze right - trapezoid

A right - trapezoid has no rotational symmetry (except for a rotation of 360° which gives an order of 1).

Answer:

equilateral triangle