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No, a parallelogram is not necessarily square.However, by definition, a square is always a parallelogram.
A rhombus is a parallelogram, but something that is a parallelogram isn't necessarily a rhombus.
No, the diagonals of a parallelogram do not necessarily bisect the angles. The diagonals of a parallelogram divide it into four congruent triangles, but they do not necessarily bisect the angles of those triangles.
Yes, that's a true statement.A rhombus is a special case of a parallelogram.
Not necessarily, but it can.