Question

If A(1,2), B(4,3) and C(6,6) were the three vertices of a parallelogram ABCD. Find the coordinates of the fourrg vertex D.

Answer 1

HEY!!

THE ANSWER IS HERE,

in parallelogram, the mid points of the diagnols are equal.so,

[(1+6)/2,(2+6)/2]= [(4+x)/2, (3+y)/2]

compare x coordinates

=> 7/2= (4+x)/2

=> 4+x=7

=> x=3

compare y coordinates.

8/2=(3+y)/2

=> 3+y=8

=> y=5

so the fourth vertex is (3,5)

:-)Hope it helps u.