SOLUTION: IF A(2,0),B(p,-2),C(-1,1) and D(3,r) are the vertices of a parallelogram ABCD,calculate the value of p and r.

Question 1070930: IF A(2,0),B(p,-2),C(-1,1) and D(3,r) are the vertices of a parallelogram ABCD,calculate the value of p and r.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The diagonals of a parallelogram bisect each other.
that means that the midpoint of AC is also the midpoint of BD.
Thee coordinates of the midpoint of a segment
are the averages of the corresponding coordinates
of the endpoints of the segment.
The midpoint of AC is ((2+(-1))/2,(0+1)/2) = (1/2,1/2) .
The midpoint of BD is ((p+3)/2,(-2+r)/2) .
So <--> <--> <--> ,
and
<--> <--> <--> .

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