if a(-2 -1) b(a 0) c(4,b) and d(1,2) are the vertices of a parallelogram find the values of a and b
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Mid point of diagonal AC is ((-2+4)/2, (b-1)/2)
= (1, b-1)/2)
Mid point of diagonal BD is ((a+1)/2, (0+2)/2)
= ((a+1)/2,1)
Since both the mid points are same point
((a+1)/2,1) = (1, b-1)/2)
So a+1 = 2 and (b-1) = 1
=> a = 1 and b = 2
= (1, b-1)/2)
Mid point of diagonal BD is ((a+1)/2, (0+2)/2)
= ((a+1)/2,1)
Since both the mid points are same point
((a+1)/2,1) = (1, b-1)/2)
So a+1 = 2 and (b-1) = 1
=> a = 1 and b = 2
Ironknight:
Thanks a lot my friend
you are most welcome
b = 3
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