bilateral symmetry vs symmetry

bilateral symmetry and symmetry both are nouns.

Word	Noun	Adjective	Verb	Adverb
bilateral symmetry	Yes	No	No	No
symmetry	Yes	No	No	No

As nouns, symmetry is a hypernym of bilateral symmetry; that is, symmetry is a word with a broader meaning than bilateral symmetry:

bilateral symmetry: the property of being symmetrical about a vertical plane
symmetry: (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane

Other hypernyms of bilateral symmetry include balance, correspondence, symmetricalness.

bilateral symmetry (noun)	symmetry (noun)
the property of being symmetrical about a vertical plane	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
	(physics) the property of being isotropic; having the same value when measured in different directions
	balance among the parts of something