if A(1,2),B(4,3),C6,6) are the three vertices of a parallelogram ABCD , find the coordinates of the fourth vertex?
Asked by sharmishtha rath | 15th Dec, 2013, 10:13: AM
Let (x, y) be the coordinates of the vertex D.
We know that the diagonals of a parallelogram bisect each other.
Let us now find the midpoint of the line joining A and C.
Therefore, the coordinates of the midpoint of AC are
Similarly the coordinates of the midpoint of BD are
By the property of the parallelogram, we have
Thus, the coordinates of the vertex D are D=(3,5)
Answered by Vimala Ramamurthy | 15th Dec, 2013, 12:37: PM
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