Question 408883: If you are given the coordinates of the vertices, how do you prove that it is a parallelogram?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
A common type of proof involves proving that a quadrilateral is a parallelogram. If any of the 5 conditions below are met, then the quadrilateral must be a parallelogram.
1) If a quadrilateral has one pair of sides that are both parallel and congruent, then the quadrilateral is a parallelogram.
2) If a 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.
so, plot your vertices and see if they meet any of criteria above
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