Here's what rhymes with imthigh.
high thy vi hi shy sigh fi hy thigh vie psi hai cy fy sy thei phi by my why die lie y buy fly sky guy tie bi bye chi dye nigh pi pie spy thai dei fry ly quae rye sly ty wir awry lye mai muy nai wry kai lai luy mei tai wai sty stye slier dry try cry imply defy ply pry tri trie pri untie edify bonsai spry amebae turfy shanghai banzais apply supply reply thereby deny nearby rely hereby modify signify verify notify nullify unify belie decry terrify typify amoebae dignify mollify overlie ramify vilify aquae deify ossify vivify lanai scurfy mummify ripply overbuy identify whereby clarify comply nuclei specify simplify testify certify goodbye underlie alibi amplify magnify pacify ratify rectify samurai pupae termini codify descry liquefy mortify acidify firefly mystify retry triply blowfly emulsify horrify misapply petrify reunify stupefy liquify overfly scarify versify barfly prettify vitrify gentrify dandify yuppify justify occupy satisfy stimuli qualify alkali classify butterfly glorify gratify intensify purify quantify alveoli fortify standby beautify falsify indemnify lullaby solidify crucify personify resupply ultrahigh calcify revivify beatify drachmai refortify speechify solemnify multiply exemplify diversify objectify oversupply demystify detoxify dragonfly electrify stratify stultify cumuli dissatisfy declassify hyperbolae syllabify disqualify oversimplify reclassify misidentify preoccupy transmogrify