Choice A is the correct answer. To solve $(x - 2)^2 = 9$, use the Square Root Property.

1. Take the square root of both sides: $\sqrt{(x-2)^2} = \pm\sqrt{9}$.
2. Simplify: $x - 2 = \pm 3$.
3. Set up two equations:
   • $x - 2 = 3 \Rightarrow x = 5$
   • $x - 2 = -3 \Rightarrow x = -1$

Choice B is incorrect because it squares 3 instead of taking the root ($x-2 = \pm 9$). Choice C is incorrect because $x-2=-3$ gives $-1$, not $1$ (sign error). Choice D is incorrect because it forgets to add 2 to the solutions.