A parallelogram is a quadrilateral (4-sided figure) with both pairs of opposite sides parallel. That's usually the primary definition. There are properties common to all parallelograms: opposite sides are congruent, opposite angles are congruent, and diagonals bisect each other. Other special parallelograms have additional properties. A rectangle is a parallelogram with four right angles and its diagonals are congruent. A rhombus is a parallelogram with four congruent sides. Its diagonals are perpendicular and each diagonal bisects two angles of the rhombus. A square is a parallelogram as well. It has four right angles and four congruent sides, so it is also a rectangle and a rhombus. How's that for confusing???
A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture
It is a square.
A square would fit the given description.
trapezoid * * * * * It cannot be a trapezoid because that does not have four congruent sides. In fact it need not have even two congruent sides. The correct answer is a rhombus.
Two pairs of equal sides and four right angles.
A rectangle is a quadrilateral with four sides. All angles are right angles, the diagonals are congruent, and the opposite sides are all equal. A rhombus (diamond) is a quadrilateral with congruent daigonals and equal angles.
Yes. A rhombus has four sides, qualifying it as a quadrilateral. Rhombuses also have four congruent (equal) sides.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.