A square would fit the given description
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Regular shapes are both equilateral and equiangular. Irregular shapes may or may not be equilateral and equiangular.
True.
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
A rectangle is not always equilateral, although it is always equiangular. A rhombus is not always equiangular, but is always equilateral. A square is both equilateral and equiangular.
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.