plz answer it fast with solution procedure!!! then the 4th vertex is??
Answers
(0,0) , (a,0) and (b,c) are the three vertexes of parallelogram taken in order.
Let us name those points.
Let O(0,0) , A(a,0) and B(b,c) be the three vertexes of a parallelogram OABC.
We need to find coordinates of C.
OB and AC are the two diagonals of the parallelogram. We know that diagonals of a parallelogram bisect each other. That is, the diagonals have a common midpoint. Let the midpoint be M(x,y).
By midpoint formula, we can find the coordinates of M.
Midpoint of diagonal OB
So coordinates of M .
This is the midpoint of diagonal AC as well. Let coordinates of C (x',y')
By midpoint formula
So the fourth vertex is
(b-a , c)
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