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If the points and are three consecutive vertices of a parallelogram, then its fourth vertex is
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We have a parallelogram ,
whose vertices are
Now, assume the fourth vertex
So, we have diagonals and
Now, we know that, diagonals of a parallelogram bisect each other,
So, coordinate of , as mid-point of is
As mid-point of is
So, comparing and ,
and
So, the coordinate of is .
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