Find the fourth vertex of the parallelogram ABCD in which A(-2,-1),B(1,0),C(4,3)and D
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Let the coordinates of D(x,y)
AC and BD are the diagonals
Diagonals bisect each other in a parallelogram. Therefore O is the midpoint of AC
So, using midpoint;
X=(-2+4/2);Y=(-1+3/2)
X=2/2=1;Y=2/2=1.
So,Coordinates of 0(1,1)
Let,O is the midpoint of BD
X=(1+x/2)=1;Y=(0+y/2)=1
x+1=2 ; y+0=2
X=1 ; Y =2
Therefore Coordinates of D(1,2).
I hope it helps you
AC and BD are the diagonals
Diagonals bisect each other in a parallelogram. Therefore O is the midpoint of AC
So, using midpoint;
X=(-2+4/2);Y=(-1+3/2)
X=2/2=1;Y=2/2=1.
So,Coordinates of 0(1,1)
Let,O is the midpoint of BD
X=(1+x/2)=1;Y=(0+y/2)=1
x+1=2 ; y+0=2
X=1 ; Y =2
Therefore Coordinates of D(1,2).
I hope it helps you
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