Question

The scale factor to dilate Triangle ABC to Triangle DEF is _.

Answer 1

1/2

If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2

Answer 2

The scale factor for the transformation of the pre-image ABC to DEF shown in the figure is 1/2

How to estimate the scale factor of the dilation

From the question, we have the following parameters that can be used in our computation:

The transformation of the pre-image ABC to DEF

By definition, the scale factor is simply the ratio of sides of two corresponding figures

So, the scale factor (S) would be:

S = DEF/ABC

The actual measurements are given as

ABC = 12

DEF = 6

Substitute the known values into the equation

S = 6/12

Evaluate

S = 1/2

Hence, the estimated scale factor is 1/2