Let S be the set of sides and diagonals of a regular pentagon. A pair of elements of S are selected at random without replacement. What is the probability that the two chosen segments have the same length?

**Answer Choices**

A. \dfrac{2}{5}

B. \dfrac{4}{9}

C. \dfrac{1}{2}

D. \dfrac{5}{9}

E. \dfrac{4}{5}