Mathematics
Restate the following statements with appropriate conditions, so that they become true.
(i) If a2 > b2, then a > b.
(ii) If x2 = y2, then x = y.
(iii) If (x + y)2 = x2 + y2, then x = 0.
(iv) The diagonals of a quadrilateral bisect each other.
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Answer
(i) If a > 0 and a2 > b2, then a > b.
(ii) If xy ≥ 0 and x2 = y2, then x = y.
(iii) If (x + y)2 = x2 + y2 and y ≠ 0, then x = 0.
(iv) The diagonals of a parallelogram bisect each other.
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