Phylogenetic trees reconstruct evolutionary relationships by grouping taxa with shared derived characteristics inherited from recent common ancestors. This document discusses methods for building phylogenetic trees, including cladistics which uses shared derived homologies (synapomorphies) to determine relationships. It also examines evidence for the evolutionary relationships of whales. Molecular studies of transposable elements and additional fossil evidence support whales evolving from artiodactyl ancestors, rather than being the sister group to artiodactyls.