Question

What is the scale factor, k

Answer 1

The scale factor is 2

Explanation:

Scale factor
`k=(Image\: length)/(Corresponding\:Object\:Length)`

`k=(|A'B'|)/(|AB|)`

We can use the Pythagoras Theorem to get:

`k=(√(4^2+4^2) )/(√(2^2+2^2))`

`k=(√(2*4^2) )/(√(2*2^2))=(4√(2) )/(2√(2) ) =2`

The scale factor is 2