Respuesta :
Given that there is a line segment ABwith end points at A(0.-7) and B(8,8)
this is transformed into A'B' with end points (6,-6) and (2,1.5)
To find the scla efactor of dilation.
It is enough to find the ratio of A'B' to AB.
AB = distance between A and B = [tex]\sqrt{(8-0)^2+(8+7)^2} =\sqrt{64+225} =\sqrt{289} \\=17[/tex]
Let us find new length A'B'
A'B' = distance between A' and B' = [tex]\sqrt{(2-6)^2+(1.5+6)^2} =\sqrt{16+56.25} =\sqrt{72.25} \\=8.5[/tex]
i.e. 17 distance is shrunk into 8.5 distance.
Hence scale factor= 8.5/17 = 1/2
there is a dilation of 1/2 .
Scale factor = 1/2
