Yes. A Parallelogram is a quadrilateral that has two pairs of parallel sides which are opposite each other and of equal length, though the pairs may be of different length to each other. If the angles are all 90° then the parallelogram is also a rectangle. If the angles are all 90° AND all sides are equal then the parallelogram is also a square. All squares are rectangles, but not all rectangles are squares; Similarly…
The main thing squares and rhombuses have in common is that they have congruent sides all they way around. The only difference, however, is that squares have 90-degree angles, whereas rhombuses have 2 sets of congruent angles not equal to 90-degrees. They are also both polygons and all their internal angles adds up to 360.
A rhombus is a quadrilateral in which all of the sides are of equal length, It is an equilateral quadrangle. If any angle of an equilateral quadrangle is a right angle, then all its angles are right angles. It is also a square. All squares are rhombuses. Some rhombuses are squares. A rhombus is a parallelogram with 4 congruent sides. A square is a rhombus with 4 congruent angles.
They are basically the same thing however, a rhombus has the sides all congruent and the parallelogram has the opposite sides congruent. If the rhombus had angles of 90 degrees it would become a square and if a parallelogram had sides 90 degrees it would become a rectangle. All rhombuses are parallelograms, but not all parallelograms are rhombuses. Likewise, using the above example of squares, all squares are rectangles but not all rectangles are squares.