1. Find the distance between points H(-5,2) and J(1,4):
[tex]HJ=\sqrt{(-5-1)^2+(2-4)^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}.[/tex]
2. Find the distance between points H'(-1,2) and J'(2,3):
[tex]H'J'=\sqrt{(-1-2)^2+(2-3)^2}=\sqrt{9+1}=\sqrt{10}.[/tex]
3. Consider the ratio
[tex]\dfrac{H'L'}{HL}=\dfrac{\sqrt{10} }{2\sqrt{10} }=\dfrac{1}{2}.[/tex]
Then the scale factor of dilation is [tex]\dfrac{1}{2}.[/tex]
