There are many types of poetry.
Cinquain is a five line poem that describes something. Cinquain have a rhythm but don’t have to rhyme.
Diamoante is a seven line poem that compares or contrasts two things. Diamante don’t rhyme.
Haiku is a syllable count based poem describing the feeling of a moment in time. True haiku need a reference to a season and a specific rhythm, but they don’t rhyme.
Limerick is a rhyming (end rhyme) five line poem that tells a joke. Limericks need to have a rhythm to sound good.
Poems come in many different forms and purposes.