A regular Polygon.
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A rectangle having all four sides as an equal single length is a square.
A figure is called 'equilateral' when all of it's sides are equal lengths. ie: an equilateral triangle.
Having all the sides equal; as, an equilateral triangle; an equilateral polygon., A side exactly corresponding, or equal, to others; also, a figure of equal sides.
Some people classify isosceles triangles as having at least two equal sides, while other say that they must have exactly two equal sides. So, depending on your definition, some isosceles triangles may have all equal sides, but equilateral triangles always have three equal sides.
Yes. An equilateral triangle is a triangle where all sides are equal and all angles are equal, therefore it meets the criteria of an isosceles triangle (having at least two sides that are equal).