Answer:
The scale factor is 2
Step-by-step explanation:
Scale factor [tex]k=\frac{Image\: length}{Corresponding\:Object\:Length}[/tex]
[tex]k=\frac{|A'B'|}{|AB|}[/tex]
We can use the Pythagoras Theorem to get:
[tex]k=\frac{\sqrt{4^2+4^2} }{\sqrt{2^2+2^2}}[/tex]
[tex]k=\frac{\sqrt{2*4^2} }{\sqrt{2*2^2}}=\frac{4\sqrt{2} }{2\sqrt{2} } =2[/tex]
The scale factor is 2
