A' (4/3, 4)
B' (16/3, -4)
C' (-8/3, 0)
1) Firstly, we need to locate the coordinates of that triangle:
A (2,6)
B (8,-6)
C (-4,0)
2) Since it is going to be dilated around the origin, then we need to apply the scale factor (2/3) to that pre-image, to get a smaller triangle since 2/3 < 1
2.2) So we can write out the following
Pre-image Dilation k = 2/3 Image
A (2,6) A' (4/3, 4)
B (8,-6) B' (16/3, -4)
C (-4,0) C' (-8/3, 0)
And that is the answer