A square or a rhombus
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No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
Only a parallelogram. You can technically say a square does as well, although all sides are congruent in a square (compared to the parallelogram with two sets of opposite sides congruent).
A quadrilateral in which diagonal are not congruent and only larger diagonal is perpendicular bisector of smaller diagonal then it is known as kite -- Mohan S. Vighe
Square
a parallelogram, rectangle, rombus, and square all are quadrilaterals. a quadrilateral means a shape with 4 sides. only 2 sides are congruent in a parallelogram 2 sides are congruent in a rectangle 4 sides are congruent in a rombus 4 sides are congruent in a square