A'B'C' is the image of ABC after a dilitaion. AB=7, AC=10, A'B'=28, and B'C'=24. What is the scale factor of the dilitaion?

assistance needed

(Your school subject is Math, not 8th grade.)

A'B': AB = 28:7

= 4:1

To find the scale factor of the dilation, we need to compare the lengths of corresponding sides in the original figure (ABC) and the image (A'B'C').

In this case, we can compare the lengths of AB and A'B'. The scale factor (k) is given by:

k = A'B' / AB

Substituting the given values:
k = 28 / 7

Now, let's simplify:

k = 4

So, the scale factor of the dilation is 4.