Question

What is the approximate scale factor dilating from the red image to the blue image? Explain how you figured this out.

Answer 1

The scale factor dilating from the red image to the blue image is 1/4

Explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Figure ABCD and Figure A'B'C'D' are similar

so

using proportion

`(OA')/(OA)=(OB')/(OB)=(OC')/(OC)=(OD')/(OD)`

substitute the given values

`(3)/(12)=(3)/(12)=(1.5)/(6)=(2)/(8)`

`(1)/(4)=(1)/(4)=(1)/(4)=(1)/(4)`

The scale factor dilating from the red image to the blue image is 1/4