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Three conditions are listed for quadrilateral ABCD:
(i) AB = CD,
(ii) AB is parallel to CD,
(iii) angle A = 90°.
Which smallest set of these is enough to be SURE ABCD is a parallelogram?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • A(i) and (ii)
  • B(i) only
  • C(ii) only
  • D(iii) only

Step-by-Step Solution

One pair of opposite sides both equal and parallel, i.e. (i) and (ii) together, is sufficient. A single condition alone is not enough.
Answer: A) (i) and (ii)

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