Words that have identical vowel-based rhyme sounds in the tonic syllable. Moreover, that tonic syllable must start with a different consonantal sound.
There are no pure rhymes for "nad the".
Words that have a pure rhyme on their last syllable only.
Macha
    Sacha
      Natasha
        Sasha
          Inkatha
            Katha

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              Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
              Macha
                Sacha
                  Natasha
                    Sasha
                      Inkatha
                        Katha

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                          Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."