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Question 1121388: Show that A(1,1),B(4,1),C(3,-2) and D(0,-2) are the vertices of a parallelogram
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find the 4 side lengths.
If they're equal, it's a parallelogram.
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You should specify the order of the vertices, or that AB is a side, BC is a side, etc.
I assumed they were labeled in order, but we should not have to make assumptions.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Sides AB and CD are both horizontal, because the y coordinates are the same in each pair. So AB and CD are parallel.
Find the slopes of AD and BC; if they are the same, then the vertices form a parallelogram because you have two pairs of parallel opposite sides.
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