If all sides of a quadrilateral are equal, it is a __________.

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Solution

Use properties of quadrilaterals:
A rhombus is a parallelogram with four equal sides that is a sort of quadrilateral.
Therefore, a quadrilateral will be a rhombus if the lengths of all its sides are equal.
Hence, the quadrilateral must be a rhombus.

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Similar questions

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

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