Synonyms of 'poem'
A poem should not mean
but be – Ars Poetica]
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A rhyme is a word which rhymes with another word, or a set of lines which rhyme.
He has taught her a little rhyme.
Thesaurus for poem from the Collins English Thesaurus
A poem is a piece of writing in which the words are chosen for their beauty and sound and are carefully arranged , often in short lines which rhyme.