A square has 4 right angles, and 2 pairs of equal, perpendicular sides.
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Rectangle.
a parallelogram
rectangle
A rectangle is the only such shape. Not sure about the "little" right angles: all right angles are of the same measure.
Any shape with more than 3 sides can have two pairs of equal sides and no right angles. If it only has 4 sides in total and isn't a parallelogram, then it's a trapezoid.