points A(3,1) ,B(5,1) C(a,b) and D4,3) are vertices of a parallelogram ABCD ,find value of C(a &b)
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- property of parallelogram is that the point of intersection of diagonals is the mid point of both diagonal
- BD is one diagonal and its mid point is - x= ( 5+4)/2=9/2
- y=(1+3)/2=2
- this is also the mid point ofAC
- x=(3+a)/2=9/2 then a=6
- y=(1+b)/2=2 then b=3
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