Answer:
Option A
Step-by-step explanation:
The triangles do not look like they are translated. This eliminates B and D.
Let's try Option A's rotation rule:
[tex](x,y)\rightarrow(-x-y)[/tex]
The points of the black triangle are (-2,4), (-2,1) and (-4,1).
The points of the gray triangle are (2,-1), (4,-1), and (2,-4).
[tex](-2,4)\rightarrow(2,-4)\\(-2,1)\rightarrow(2,-1)\\(-4,1)\rightarrow(4,-1)[/tex]
Since the points from the black triangle map onto the points on the gray triangle, option A should be the correct answer.
