Synonyms for Symmetrical (same or very similar meaning)
WordNet sense 1 (symmetrically arranged):
even, regular
WordNet sense 2 (having similarity in size, shape, and relative position of corresponding parts):
symmetric
WordNet sense 3 (exhibiting equivalence or correspondence among constituents of an entity or between different entities):
harmonious, proportionate
WordNet sense 4 (being in a state of proper balance or equilibrium):
balanced
From the ODE community, based on WordNet
add/edit