Which of the following statements are true for a rectangle?

(i) It has two pairs of equal sides.

(ii) It has all its sides of equal length.

(iii) Its diagonals are equal.

(iv) Its diagonals bisect each other.

(v) Its diagonals are perpendicular.

(vi) Its diagonals are perpendicular and bisect each other.

(vii) Its diagonals are equal and bisect each other.

(viii) Its diagonals are equal and perpendicular, and bisect each other.

(ix) All rectangles are squares.

(x) All rhombuses are parallelograms.

(xi) All squares are rhombuses and also rectangles.

(xii) All squares are not parallelograms.

(i) True, In a rectangle two pairs of sides are equal.

(ii) False, In a rectangle two pairs of sides are equal.

(iii) True, In a rectangle diagonals are of equal length.

(iv) True, In a rectangle diagonals bisect each other.

(v) False, Diagonals of a rectangle need not be perpendicular.

(vi) False, Diagonals of a rectangle need not be perpendicular. Diagonals only bisect each other.

(vii) True, Diagonals are of equal length and bisect each other.

(viii) False, Diagonals are of equal length and bisect each other. Diagonals of a rectangle need not be perpendicular

(ix) False, In a square all sides are of equal length.

(x) True, All rhombuses are parallelograms, since opposite sides are equal and parallel.

(xi) True, All squares are rhombuses, since all sides are equal in a square and rhombus. All squares are rectangles, since opposite sides are equal and parallel.

(xii) False, All squares are parallelograms, since opposite sides are parallel and equal.