Question

What is the scale factor, k

Answer 1

Answer:

The scale factor is 2

Step-by-step explanation:

Scale factor  $k=\frac{Image\: length}{Corresponding\:Object\:Length}$

$k=\frac{|A'B'|}{|AB|}$

We can use the Pythagoras Theorem to get:

$k=\frac{\sqrt{4^2+4^2} }{\sqrt{2^2+2^2}}$

$k=\frac{\sqrt{2*4^2} }{\sqrt{2*2^2}}=\frac{4\sqrt{2} }{2\sqrt{2} } =2$

The scale factor is 2