No
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Yes. Squares, rectangles, and rhombera are special kinds of parallelograms.
Yes. All squares are parallelograms but not all parallelograms are squares.
They have the same number of sides, namely 4. A square is a special case of a parallelogram. All squares are also parallelograms but all parallelograms need not be squares.
Some parallelograms are squares - the ones which are equiangular (have equal angles) and are equilateral (have equal side lengths). All squares are parallelograms, but only some parallelograms are squares.
Generally, there are no right angles in a parallelogram, but rectangles and squares can be seen as special parallelograms, as they have all the qualities needed to be classed as parallelograms, and in addition, they have four right angles.