The Collaborative International Dictionary of English v.0.48:

Rhyme \Rhyme\, n. [OE. ryme, rime, AS. r[imac]m number; akin to
   OHG. r[imac]m number, succession, series, G. reim rhyme. The
   modern sense is due to the influence of F. rime, which is of
   German origin, and originally the same word.] [The Old
   English spelling rime is becoming again common. See Note
   under Prime.]
   1. An expression of thought in numbers, measure, or verse; a
      composition in verse; a rhymed tale; poetry; harmony of
      language. "Railing rhymes." --Daniel.
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            A ryme I learned long ago.            --Chaucer.
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            He knew
            Himself to sing, and build the lofty rime. --Milton.
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   2. (Pros.) Correspondence of sound in the terminating words
      or syllables of two or more verses, one succeeding another
      immediately or at no great distance. The words or
      syllables so used must not begin with the same consonant,
      or if one begins with a vowel the other must begin with a
      consonant. The vowel sounds and accents must be the same,
      as also the sounds of the final consonants if there be
      any.
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            For rhyme with reason may dispense,
            And sound has right to govern sense.  --Prior.
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   3. Verses, usually two, having this correspondence with each
      other; a couplet; a poem containing rhymes.
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   4. A word answering in sound to another word.
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   Female rhyme. See under Female.

   Male rhyme. See under Male.

   Rhyme or reason, sound or sense.

   Rhyme royal (Pros.), a stanza of seven decasyllabic verses,
      of which the first and third, the second, fourth, and
      fifth, and the sixth and seventh rhyme.
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The Collaborative International Dictionary of English v.0.48:

Rhyme \Rhyme\, v. i. [imp. & p. p. Rhymed;p. pr. & vb. n.
   Rhyming.] [OE. rimen, rymen, AS. r[imac]man to count: cf.
   F. rimer to rhyme. See Rhyme, n.]
   1. To make rhymes, or verses. "Thou shalt no longer ryme."
      --Chaucer.
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            There marched the bard and blockhead, side by side,
            Who rhymed for hire, and patronized for pride.
                                                  --Pope.
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   2. To accord in rhyme or sound.
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            And, if they rhymed and rattled, all was well.
                                                  --Dryden.
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The Collaborative International Dictionary of English v.0.48:

Rhyme \Rhyme\, v. t.
   1. To put into rhyme. --Sir T. Wilson.
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   2. To influence by rhyme.
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            Hearken to a verser, who may chance
            Rhyme thee to good.                   --Herbert.
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WordNet (r) 3.0 (2006):

rhyme
    n 1: correspondence in the sounds of two or more lines
         (especially final sounds) [syn: rhyme, rime]
    2: a piece of poetry [syn: verse, rhyme]
    v 1: compose rhymes [syn: rhyme, rime]
    2: be similar in sound, especially with respect to the last
       syllable; "hat and cat rhyme" [syn: rhyme, rime]

Moby Thesaurus II by Grady Ward, 1.0:

138 Moby Thesaurus words for "rhyme":
   English sonnet, Horatian ode, Italian sonnet, Petrarchan sonnet,
   Pindaric ode, Sapphic ode, Shakespearean sonnet, accord, alba,
   alliterate, alliteration, anacreontic, assonance, assonate, balada,
   ballad, ballade, beat, blank verse, bucolic, cadence, cadency,
   canso, cap verses, chanson, check, chime, clerihew, clink, cohere,
   common sense, comport, conform, consist, consonance, consort,
   correspond, crambo, dingdong, dirge, dithyramb, double rhyme,
   dovetail, drone, eclogue, elegy, epic, epigram, epithalamium,
   epode, epopee, epopoeia, epos, eye rhyme, georgic, ghazel, haiku,
   harping, humdrum, idyll, intelligence, jingle, jingle-jangle,
   limerick, logic, lyric, madrigal, meaning, measure, meter, monody,
   monotone, monotony, musical thought, narrative poem, near rhyme,
   nursery rhyme, ode, organization, palinode, paronomasia, pastoral,
   pastoral elegy, pastorela, pastourelle, pitter-patter, poem, poesy,
   poetry, prothalamium, pun, rationale, rationality, repeated sounds,
   repetitiousness, repetitiveness, rhyme royal, rhyme scheme,
   rhyming dictionary, rime, rondeau, rondel, roundel, roundelay,
   rune, satire, scan, sestina, single rhyme, singsong, slant rhyme,
   sloka, song, sonnet, sonnet sequence, soundness, stale repetition,
   structure, swing, tail rhyme, tanka, tedium, tenso, tenzone,
   the supreme fiction, threnody, triolet, trot, troubadour poem,
   unnecessary repetition, unrhymed poetry, verse, verselet, versicle,
   versification, villanelle, virelay, wisdom