Which of the following statements are true for a rhombus?
(i) It has two pairs of parallel sides.
(ii) It has two pairs of equal sides.
(iii) It has only two pairs of equal sides.
(iv) Two of its angles are at right angles.
(v) Its diagonals bisect each other at right angles.
(vi) Its diagonals are equal and perpendicular.
(vii) It has all its sides of equal lengths.
(viii) It is a parallelogram.
(ix) It is a quadrilateral.
(x) It can be a square.
(xi) It is a square.
(i) True
(ii) True
(iii) True
(iv) False
(v) True
(vi) False
Diagonals of a rhombus are perpendicular, but not equal.
(vii) True
(viii) True
It is a parallelogram because it has two pairs of parallel sides.
(ix) True
It is a quadrilateral because it has four sides.
(x) True
It can be a square if each of the angle is a right angle.
(xi) False
It is not a square because each of the angle is a right angle in a square.
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