Question

Three vertices of a parallelogram taken in order are( 1, 2),( 2, 4)and( 3, 7).find the fourth vertex

Answer 1

Let A(1,2), B(2,4), C(3,7) be vertices of parallelogram ABCD.

In a parallelogram the diagonals bisect each other. Hence midpoints of AC and BD are equal.

Let D=(x,y)

So 1+3 = 2+x and 2+7 = 4+ y implies D=(2,5)

Answer 2

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