Question

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

Explanation:

Step1: Define order of rotational symmetry

The order of rotational symmetry is the number of times a shape fits onto itself during a full 360 - degree rotation.

Step2: Analyze right - triangle

A right - triangle has no rotational symmetry (except the identity rotation of 360°), order = 1.

Step3: Analyze equilateral triangle

An equilateral triangle can be rotated by 120° (360°÷3 = 120°) and fit onto itself 3 times during a 360 - degree rotation. So, its order of rotational symmetry is 3.

Step4: Analyze regular hexagon

A regular hexagon can be rotated by 60° (360°÷6 = 60°) and fit onto itself 6 times during a 360 - degree rotation. So, its order of rotational symmetry is 6.

Step5: Analyze right trapezoid

A right trapezoid has no rotational symmetry (except the identity rotation of 360°), order = 1.

Answer:

B. equilateral triangle