Answer:
The correct answer option is D. (-2, 1).
Explanation:
We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.
For that, we will reverse the rule.
A" = (-5, -3)
x: - 5 + 4 = -1
y: - 3 + 1 = -2
Now we will reverse the 90 degrees counter in counter clockwise rotation:
(x, y) ---> (y, -x)
(-1. -2) ---> (-2, -(-1)) = (-2, 1)