Explanation:
First we have to find the size of each segment.
For segment WZ W(-3, 5) Z(1, 1):
[tex]d_{WZ}=\sqrt[]{(-3-1)^2+(5-1)^2}=\sqrt[]{4^2+4^2}=\sqrt[]{32}=4\sqrt[]{2}[/tex]
For segment W'Z' W'(-12,20) Z'(4,4):
[tex]d_{W^{\prime}Z^{\prime}}=\sqrt[]{(-12-4)^2+(20-4)^2}=\sqrt[]{16^2+16^2}=\sqrt[]{512}=16\sqrt[]{2}[/tex]
Now we have to divide the distances:
[tex]\frac{d_{W^{\prime}Z^{\prime}}}{d_{W^{}Z}}=\frac{16\sqrt[]{2}}{4\sqrt[]{2}}=\frac{16}{4}=4[/tex]
Answer:
Scale factor = 4
