No, never.
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Yes a square always has 4 right angles but a rhombus never has any right angles.
yes, they do. though they are not always equal in length they always cross at right angles.
Both have sides of equal length so that a square is also a rhombus. But a the angles of a rhombus need not be right angles so it may not be a square.
a rhombus is a parallelogram with no right angles.
The diagonals of a rhombus intersect (meet) at right angles.