To find the vertices of the image after rotating 90° counterclockwise, we can use the following formula:
x' = -y
y' = x
For each vertex (x, y) in the original triangle, we can apply this formula to get the corresponding vertex in the image.
Let's start with vertex U(-2, 0):
x' = -y = 0
y' = x = -2
So, U' is at (0, -2).
Now, let's consider vertex V(-3, 1):
x' = -y = -1
y' = x = -3
So, V' is at (-1, -3).
Finally, let's consider vertex W(-3, 3):
x' = -y = -3
y' = x = 3
So, W' is at (-3, -3).
Therefore, the vertices of the image triangle U'V'W' are (0, -2), (-1, -3), and (-3, -3).
Thus, the correct answer is option A: U′(0, −2), V′(−1, −3), W′(−3, −3).