Presuming our geometry is Euclidean, such a shape would be a rectangle, since all 4 angles would be right angles.
If our geometry is hyperbolic, it would be possible to construct such a quadrilateral which is not a rectangle (and in fact, rectangles cannot exist in a hyperbolic geometry). I do not believe such a quadrilateral has any special name.
A square is a four-sided shape with all sides equal and all angles equal.
No shape has four equal sides and four different angles - either there are two pairs of equal angles, or all four angles are the same; or all sides are not the same length.
A shape that has four equal sides and opposite angles equal is a rhombus. In a rhombus, all sides are of equal length, and while opposite angles are equal, adjacent angles are supplementary (adding up to 180 degrees). A square is a special type of rhombus where all angles are also right angles.
A parallelogram.
A shape with six sides is a hexagon. A hexagon with all sides and angles equal is a regular hexagon.
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.
A square is a four-sided shape with all sides equal and all angles equal.
A shape with 4 right angles and 4 equal sides is a square. ==========================
No shape has four equal sides and four different angles - either there are two pairs of equal angles, or all four angles are the same; or all sides are not the same length.
When all its sides and angles are equal.
As long as the angles are all equal as well then it is a regular shape.
You don't tell us enough information. In a square, there are four sides and four angles. The sides are all equal and the angles are all right angles. In a rectangle, there are four sides and four angles The opposite sides are equal and the angles are all right angles. There is no other shape in which all angles are right angles.
A hexagon has all six sides in equal length and all angles in equal measure.
A shape that has four equal sides and opposite angles equal is a rhombus. In a rhombus, all sides are of equal length, and while opposite angles are equal, adjacent angles are supplementary (adding up to 180 degrees). A square is a special type of rhombus where all angles are also right angles.
A parallelogram.
A shape with six sides is a hexagon. A hexagon with all sides and angles equal is a regular hexagon.
square