What really confuses me is just the center part, it messes up my calculations. Could someone help?
+128475 X = (-4,2) Y = (6,0) Z = (-2, -4)
Center of Dilation = ( -2,-4)
Call (x , y) the point to be dilated
Dilation rule = ( x + 2, y + 4)
Apply the scale Factor across this = ( 3x + 6, 3y+ 4)
Translate Back = ( 3x + 6 - 2 , 3y + 4 - 4) = ( 3x +4, 3y )
So working backwards to calculate A, B and C
3x + 4 = -4 3y = 2
3x = -8 y = 2/3 So A = ( -8/3, 2/3)
x = -8/3
And
3x + 4 = 6 3y = 0
3x = 2 y = 0 So B = (2/3, 0)
x = 2/3
And
3x + 4 = -2 3y = -4
3x = -6 y = -4/3 So C = ( -2, - 4/3)
x = -2
+128475 Center of Dilation = A = ( -2, 3)
Call (x , y) the point to be dilated
Dilation Rule = ( x + 2, y - 3)
Apply Scale Factor over this = ( 4x + 8, 4y - 12)
Translate Back = ( 4x + 8 - 2 , 4y - 12 + 3) = ( 4x + 6, 4y - 9)
So applying this to C to get C' we have
(4(5) + 6 , 4(-2) - 9 ) = ( 26, -17) = C'
