Answer:
The correct option is 4.
Step-by-step explanation:
Given information: ABCD is a rhombus with point A (3, −1).
If a figure rotated 90° counterclockwise, then
[tex](x,y)\rightarrow (-y,x)[/tex]
If a figure rotated 180° counterclockwise, then
[tex](x,y)\rightarrow (-x,-y)[/tex]
If a figure rotated 270° counterclockwise, then
[tex](x,y)\rightarrow (y,-x)[/tex]
Therefore the rule [tex](x,y)\rightarrow (y,-x)[/tex] would rotate the figure 270° counterclockwise.
The correct option is 4.