Problem preview
G-CO.3 Warmup M1-038-A06-V01

Describe rotations and reflections that carry rectangles, parallelograms, trapezoids, or regular polygons onto themselves.

Identify rotational symmetries of a regular polygon

Problem

Identify the rotational symmetries of a regular \(3\text{-}\text{gon}\).

Big Picture

What this problem is really about

A regular polygon returns to itself whenever a turn about its center advances every vertex to another vertex position. Find the equal central-angle step by dividing a full turn by the number of sides, then list its multiples below one complete turn and remember that the zero-degree identity belongs in the inventory.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.3
Category
Geometry
Domain
Congruence
Objective
Describe rotations and reflections that carry rectangles, parallelograms, trapezoids, or regular polygons onto themselves.
Problem type
Identify rotational symmetries of a regular polygon