SOLUTION: True or false and explain? If one pair of opposite sides of a quadrilateral is congruent, then it is a parallelogram.

Algebra ->  Parallelograms -> SOLUTION: True or false and explain? If one pair of opposite sides of a quadrilateral is congruent, then it is a parallelogram.      Log On


   



Question 73515: True or false and explain?
If one pair of opposite sides of a quadrilateral is congruent, then it is a parallelogram.

Answer by tazoftroy(22) About Me  (Show Source):
You can put this solution on YOUR website!
False, because that polygon could be a trapezoid. In that case, the two opposite sides are congruent, but they aren't parallel, so its not a parallelogram.