Question

Please someone help me with my question

Coordinate of vertices of a parallelogram ABCD are A(-4,-4) , B(3,1) and C(6,2).Find the coordinate of fourth vertex of parallelogram??? ​

Answer 1

answer (-1,-3) AC= BD let D= (x,y)

(-4+6/2) + (-4+2/2)= (3+x/2)+(1+y/2)

3+x/2=1

x= 2-3

x= -1

1+y/2= -1

y= -2-1

y= -3

so therefore the fourth vertex D= (-1,-3)

Thank you