laterality vs handedness

laterality and handedness both are nouns.

Word	Noun	Adjective	Verb	Adverb
laterality	Yes	No	No	No
handedness	Yes	No	No	No

As nouns, laterality and handedness are synonyms defined as:

laterality and handedness: the property of using one hand more than the other

laterality (noun)	handedness (noun)
superior development of one side of the body	the property of using one hand more than the other
the property of using one hand more than the other
localization of function on either the right or left sides of the brain