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