No. But squares are a special kind of parallelogram.
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A square is parellelogram because all the sides are equal.
No
All squares are a special type of rhombi. The special feature is that all angles of squares are equal.
Yes, a square is a special case of rectangle (all four angles are 90°). The special case is that all four sides are equal length.
No. The square is a special case of rectangle where all the sides are of equal length. So some rectangles are squares, and all squares are rectangles.