Answer: The correct option is (C) (5, 2).
Step-by-step explanation: Given that the triangle XYZ is reflected across the line x = 3.
We are to select the reflection image of Y.
From the graph, we note that the co-ordinates of the vertex Y are (1, 2).
We know that
if a point (x, y) is reflected across the line x = k, then the co-ordinates changes to (2k - x ,y).
For the given reflection, k = 3.
Therefore, the co-ordinates of the reflection image of Y will be
(1, 2) ⇒ (2 × 3 - 1, 2) = (5, 2).
Thus, the reflection image of Y is (5, 2).
Option (C) is CORRECT.