Q: If a quadrilateral has four congruent sides and its diagnols are congruent?

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Rhombus.

Square.

Parallelogram

A square.

A square. Parallelogram * * * * * No. It is a rhombus and a square is a special case of a rhombus. A parallelogram does not have four congruent sides, but two pairs of sides that are congruent to one another.

Related questions

Square

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.

No , a quadrilateral has four congruent sides. The top , bottom , and two sides.

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

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.

Rhombus.

Square.

It is a square.

square

Parallelogram

A rhombus