Here's what rhymes with distinguishing.

Consider these alternatives

characteristics / statistics differentiate / state identifying / dying identifiable / viable traits / states trait / great morphological / logical differentiates / states similarity / therapy recognizable / advisable differentiated / dated redeeming / meaning conspicuous / ambiguous identifies / size attributes / groups feature / teacher stylistic / characteristic recognisable / unrecognisable recognizing / rising peculiarity / therapy unique / seek characterizing / rising desirable / undesirable distinguishable / indistinguishable features / teachers