That's a rhombus.
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Yes.A parallelogram with all congruent sides is called a rhombus. A square is technically a parallelogram with all congruent sides as well.
No. If you made a parallelogram with congruent sides it wouldn't necessarily have congruent angles. A square has to have congruent angles as well as congruent sides.
They are sometime congruent because a square is a parallelogram and its sides are congruent and a rectangle is one and its sides aren't congruent.
A parallelogram has two pairs of congruent sides.
A parallelogram with no right angles and four congruent sides is a Rhombus.