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Hi
is having One pair of consecutive angles are congruent
enough information to prove a quadrilateral is a parallelogram?
NO, one of the following conditions must be shown to be true.
1) If a quadrilateral has one pair of sides that are both parallel and congruent,
then the quadrilateral is a parallelogram.
2) If the opposite sides of a quadrilateral are congruent,
then then quadrilateral is a parallelogram.
3) Opposites sides are parallel.
4) 'Opposite angles are congruent'
5) Diagonals bisect each other.