Question

A(-4,-1) B(2,2) C(6,-6)
ABCD is a rectangle find the coordinates of D
Please show working :)

Answer 1

As we know diagonals bisect

So mid point of AC= mid point of BD

-4+6)/2, -1-6/2 = 2+x)/2, 2+y)/2

2/2, -7/2 = 1 + x/2, 1 + y/2

1 = 1 + x/2

x= 0

-7/2 = 1 + y/2

y/2 = -9/2

y= -9

so (0,-9)