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square

Q: If a quadrillateral has four congruent sides and its diagonals are congruent then the quadrillateral is what?

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It is a rectangle unless all sides are congruent, in which event it is a square.

square

Four right angles; opposite sides are parallel; opposite sides are congruent; diagonals are congruent.

-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular

Two pairs of equal sides and four right angles.

Related questions

A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture

It is a rectangle unless all sides are congruent, in which event it is a square.

It is a square.

Rhombus.

Square.

Rhombus

square

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.

There are: Squares, which have all four sides parallel and congruent, all four angles are right and congruent, the diagonals bisect each other and are congruent. Trapezoids, which have two of their sides parallel Rhombus, which have all sides congruent, diagonals bisect, and opposite angles are congruent Parallelograms, which have opposite sides congruent and parallel, diagonals bisect Rectangle, which is a square but one pair of opposite sides aren't congruent.

A rhombus

Four right angles; opposite sides are parallel; opposite sides are congruent; diagonals are congruent.

A square would fit the given description.