State, 'true' or 'false' :

(i) The diagonals of a rectangle bisect each other.

(ii) The diagonals of a quadrilateral bisect each other.

(iii) The diagonals of a parallelogram bisect each other at right angle.

(iv) Each diagonal of a rhombus bisects it.

(v) The quadrilateral, whose four sides are equal, is a square.

(vi) Every rhombus is a parallelogram.

(vii) Every parallelogram is a rhombus.

(viii) Diagonals of a rhombus are equal.

(ix) If two adjacent sides of a parallelogram are equal, it is a rhombus.

(x) If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.

(i) True

(ii) False

Reason — Not all the quadrilateral's diagonals bisect each other, for example : diagonals of trapezium do not bisect each other.

(iii) False

Reason — The diagonals of parallelogram bisect each other at right angle only if it is a rhombus or a square.

(iv) True

(v) False

Reason — The quadrilateral, whose four sides are equal, can be a square or a rhombus.

(vi) True

(vii) False

Reason — Every rhombus is a parallelogram.

(viii) False

Reason — A rhombus with equal diagonals is a square.

(ix) True

(x) False

Reason — If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral can be a square or a rhombus.