Which shows the pre-image of triangle x'y'z' before the figure was rotated 90° about the origin?

The last option.

Step-by-step explanation:

1. By definiton, the rotation rule 90° about the origin is:

(x,y)⇒(-y,x)

2. You know that the coordinates of triangle X'Y'Z' are the following:

X'(-2,2)

Y'(0,6)

Z'(1,1)

3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:

X(2,2)

Y(6,0)

Z(1,-1)

Therefore, the answer is the last option.

(-1,-0.5)

step-by-step explanation: