It is a rhombus
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It is an isosceles trapezoid.
If you mean all right angles are equal in MEASURE, then this would be a square or a rectangle, but if you meant 4 right angles and 4 sides of equal length then that would be a square.
A regular quadrilateral is a square. It is a four-sided figure with all sides being the same length and all angles equal (right angles).
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
A quadrilateral with 4 equal sides and 4 right angles is a square.