1 Answer

Sjoerd De Wit · Answer 1 · 2023-08-23T03:23:45+0000

Step-by-step explanation:

First we have to find the size of each segment.

For segment WZ W(-3, 5) Z(1, 1):

$d_(WZ)=\sqrt[]{(-3-1)^2+(5-1)^2}=\sqrt[]{4^2+4^2}=\sqrt[]{32}=4\sqrt[]{2}$

For segment W'Z' W'(-12,20) Z'(4,4):

$d_(W^(\prime)Z^(\prime))=\sqrt[]{(-12-4)^2+(20-4)^2}=\sqrt[]{16^2+16^2}=\sqrt[]{512}=16\sqrt[]{2}$

Now we have to divide the distances:

$\frac{d_(W^(\prime)Z^(\prime))}{d_{W^{}Z}}=\frac{16\sqrt[]{2}}{4\sqrt[]{2}}=(16)/(4)=4$

Answer:

Scale factor = 4

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