If a diamond does not necessarily have to have right angles in it, but if it does then all four corners have to be right angles. Think of a diamond as a turned square or rhombus.
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A diamond is also known as a rhombus. A rhombus can have right angles except that it then also becomes a square.
A square must have all four angles equal (at 90o) whereas in a diamond only the opposite angles are equal. A square is a diamond with all four angles right angles.
Its a diamond :]
a tetrahedron has 3 Right angles
A diamond, a rhombus, or a parallelogram.