Question

determine if the statement is always, sometimes or never true. an equilateral triangle is a regular polygon. sometimes never always

Explanation:

Step1: Recall definitions

A regular polygon is a polygon that is equilateral (all sides equal in length) and equiangular (all interior angles equal in measure). An equilateral triangle has all three sides equal in length and all three interior angles equal (each is \(60^\circ\)).

Step2: Compare with regular polygon definition

Since an equilateral triangle satisfies both the equilateral and equiangular conditions for a regular polygon, every equilateral triangle is a regular polygon.

Answer:

always (the option: always)