A regular polygon has all the sides and angles congruent. You can have equilateral without equiangular in some cases.
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When two sides of a figure are equal in length (measure). For example in a square all sides are equal in length so they're all corresponding measurements.
A square has all 4 sides equal in length. A four sided closed figure with all sides different length is called a quadrilateral.
A polygon is any closed figure with 3 or more sides. The sides need not all have the same length.
A rhombus. A square is one special rhombus with right angles.