Any regular shaped polygon has equal angles and equal sides
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An equiangular shape. The shape need not be regular since a regular shape must also have sides of equal length and equal angles does not imply equal sides.
A shape where all the sides are equal and all the angles are equal. If all sides are equal but angles or not, it is equilateral. If it is vice versa, it is equiangular.
An equilateral triangle has three equal sides and three equal angles.
A square has 4 equal sides with opposite angles that are equal.
A rectangle
A shape with 4 equal sides is a rhombus. If it also has 4 equal angles, then it is a square.