AMC 10 2017b Problem 8

Points $A(11, 9)$ and $B(2, -3)$ are vertices of $\triangle ABC$ with $AB=AC$. The altitude from $A$ meets the opposite side at $D(-1, 3)$. What are the coordinates of point $C$? $\textbf{(A)}\ (-8, 9) \textbf{(B)}\ (-4, 8) \textbf{(C)}\ (-4, 9) \textbf{(D)}\ (-2, 3) \textbf{(E)}\ (-1, 0)$