Yes.
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A parallelogram with no right angles and four congruent sides is a Rhombus.
a rhombus
A rhombus
A rhombus is a quadrilateral that has four congruent sides. It makes a parallelogram. Not all parallelograms have 4 congruent sides. Some have two pairs of opposite sides congruent.
A square is the parallelogram that has all sides congruent. A square also has four angles that are all right angles.