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

Equilateral triangle is the figure with order 3 rotational symmetry among the options: right triangle, equilateral triangle, regular hexagon, and right trapezoid.

Rotational Symmetry Basics

Rotational symmetry occurs when a shape looks identical after rotation by specific angles around its center. Order 3 means it matches its original position after 120° and 240° rotations (360°/3), plus the full 360° turn.

Shape Analysis

• Right triangle : Order 1; only matches after full 360° rotation, as unequal sides and 90° angle prevent lesser turns.

• Equilateral triangle : Order 3; all sides equal, rotates perfectly at 120° intervals.

• Regular hexagon : Order 6; six equal sides allow 60° rotations (360°/6).

• Right trapezoid : Order 1; asymmetric non-parallel sides block rotations beyond 360°.

Shape| Order of Symmetry| Rotation Angle
---|---|---
Right Triangle| 1| 360°
Equilateral Triangle| 3| 120°
Regular Hexagon| 6| 60°
Right Trapezoid| 1| 360°

Imagine spinning an equilateral triangle like a pinwheel: every 120° click, it reappears unchanged, a classic trait in geometry lessons and art designs.

TL;DR : Equilateral triangle has order 3 rotational symmetry.

Information gathered from public forums or data available on the internet and portrayed here.