Final answer:
The statement is true; a concave polygon cannot be a regular polygon because regular polygons must have all equal angles and sides, while concave polygons have at least one angle greater than 180 degrees.
Step-by-step explanation:
The statement that a concave polygon can never be classified as a regular polygon is true.
A regular polygon is defined as a polygon that is both equiangular and equilateral; this means all its angles are equal, and all its sides are of the same length. Conversely, a concave polygon is defined by having at least one interior angle greater than 180 degrees, which violates the condition of being equiangular necessary to be a regular polygon. Therefore, due to their inherent properties, concave polygons and regular polygons are mutually exclusive; a concave polygon can never fulfill the criteria to be considered regular.