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 full - turn (360°) and still look the same.

Step2: Analyze right - triangle

A right - triangle has no rotational symmetry (except for a 360° rotation which is true for all shapes). Its order of rotational symmetry is 1.

Step3: Analyze equilateral triangle

An equilateral triangle can be rotated by 120° (360°÷3 = 120°) and still look the same. It can be rotated 3 times in a 360° turn. So, its order of rotational symmetry is 3.

Step4: Analyze regular hexagon

A regular hexagon can be rotated by 60° (360°÷6 = 60°) and still look the same. Its order of rotational symmetry is 6.

Step5: Analyze right - trapezoid

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

Answer:

equilateral triangle