Determine the vertices of rectangle ABCD, where AB = 2BC.

a) rectangle ABCD
A) (0,0)
B) (8,2)
C (_,_)
D (_,_)
So far I just found the midpoint of A and B and got (4,1) but i don't know what to do after that. THe slope is 1/4, so i was thinking of finding the point C with the slope going on from point B?

1 answer

C(x,y)
B(8,2)

x-8 = (8-0)/2 = 4
X = 12

y-2 = (2-0)/2 = 1
Y = 3

C(12,3)
D(x,y)

12-x = 8-0 = 8
X = 4

3-y = 2-0 = 2
Y = 1

D(4,1)