Square ABCD has sides of length 4. Points P and Q lie on \overline{AD} and \overline{CD}, respectively, with AP=\dfrac{8}{5} and DQ=\dfrac{10}{3}. A path begins along the segment from P to Q and continues by reflecting against the sides of ABCD (with congruent incoming and outgoing angles). If the path hits a vertex of the square, it terminates there; otherwise it continues forever. At which vertex does the path terminate?
Answer Choices:
A. A
B. B
C. C
D. D
E. The path continues forever