**Question:**

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.

**Solution:**

(i) True

(ii) False

(iii) True

(iv) True

(v) False

(vi) False

The diagonals are not perpendicular to each other.

(vii) True

(viii) False

The diagonals are not perpendicular to each other.

(ix) False

All sides are not equal.

(x) True

(xi) True

(xii) False

All squares are parallelogram.