Answer:
See attached image
Explanation:
This is how I did it
I made point A as (0,0)
Point B is 12 units right and 4 units up from A. So B is(12,4)
Point C is 8 units right and 8 units down from A so it is at (8, -8)
When dilated by 1/4 with point A as center of dilation, B coordinates are reduced by 1/4 so the image B' coordinates are (12/4, 4/4) = (3,1)
C coordinates are reduced by 1/4 so C' coordinates of image are (8/4, -8/4) = (2, -2)
The A' coordinates are unchanged at A'(0,0)
So the image is A'B'C' as shown in the blue triangle
I do not know what that other triangle is for, it plays no role in the dilation
I also realize you may have been given some other strategy for solving but this is the way I did it
I hope that works for you.