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. 

 

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