Question

if(1,2) (4,y) (x,6) and (3,5) are the vertices of a parallelogram find x and y

Answer 1

The coordinates of the vertices of parallelogram are
A(1,2) B(4,y) C(x,6) D(3,5)

We know that diagonals of a parallelogram bisect each other

Let the point where the diagonals intersect each other be P(m,n)

m = (1+x)/2 = (4+3)/2
x+1 = 7
x = 6

n = (2+6)/2 = (y+5)/2
y+5 = 8
y = 3

hence the value of x is 6 and that of y is 3

Answer 2

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