bilateral symmetry vs bilaterality

bilateral symmetry and bilaterality both are nouns.

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

As nouns, bilateral symmetry and bilaterality are synonyms defined as:

bilateral symmetry and bilaterality: the property of being symmetrical about a vertical plane

Other synonyms of bilateral symmetry include bilateralism.

bilateral symmetry (noun)	bilaterality (noun)
the property of being symmetrical about a vertical plane	the property of being symmetrical about a vertical plane