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Which statement is not true for a kite ?

  • A.The diagonals are perpendicular
  • B.One pair of opposite angles is congruent
  • C.One pair of opposite sides is parallel
  • D.Two pairs of consecutive sides are congruent

Answer: C

The statement that is not true is One pair of opposite sides is parallel.

A kite has two pairs of equal adjacent (consecutive) sides. Its diagonals are perpendicular, and one diagonal bisects the other; the pair of opposite angles between the unequal sides is equal. A kite need have no parallel sides at all. A quadrilateral with one pair of parallel sides is a trapezium.

So perpendicular diagonals, one pair of congruent opposite angles and two pairs of congruent consecutive sides are all true of a kite.

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