Which of the following can't be the vertex of the triangle:
Step-by-Step Solution
Key Concept: A reflection of a point across a line can be found using the perpendicular bisector of the segment joining the original and reflected points.
The reflection of point $A = (0, 2\sqrt{3})$ across a line produces $A' = (3, -\sqrt{3})$. The line of reflection is the perpendicular bisector of segment $AA'$, passing through the midpoint $\left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)$ with slope perpendicular to the slope of $AA'$.
Correct Answer: 4