Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
perpendicularity is a noun meaning "the relation of opposition between things at right angles". It carries 2 recorded senses.
the relation of opposition between things at right angles
the quality of being at right angles to a given line or plane (especially the plane of the horizon)
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for perpendicularity come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.