ΔABC undergoes a dilation by a scale factor. Using the coordinates of ΔABC and ΔA'B'C', prove that the triangles are similar by AA. I WILL MARK BRAINLIEST PLEASE HELP!!!

First, note that if the slope of all three sides of the triangle stays the same after the dilation, then all the lines of ABC and A'B'C' are parallel. This would mean that the angles of A'B'C' are the same as ABC

Skip this paragraph if you know how to find slope. To find all of the coordinates, we do the change in y over the change in x. For example, A has coordinates (-4,8) and C has coordinates (6,-10). The change in y is 6- -4=10, and the change in y is -10-8=-18. The slope is 10/-18, which simplifies to -5/9

I will list the slopes of all of the lines here:

AB undefined (vertical lines have an undefined slope)

AC -5/9

BC 0

A'B' undefined

A'C' -5/9

B'C' 0

Notice that all corresponding sides have the same slope. Using the logic in the first paragraph, we are done