Another form of literature that often employs verse is
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Besides poetry (which is the primary literary form written in verse), drama is another form of literature that often employs verse. Many of the greatest works of dramatic literature are written partly or entirely in verse. Shakespeare's plays, for instance, use iambic pentameter extensively. Greek tragedies by Sophocles, Euripides, and Aeschylus were composed in verse. Verse drama continued through the works of Christopher Marlowe, Ben Jonson, and into the modern era with playwrights like T.S. Eliot and Wole Soyinka.
The other options do not typically employ verse:
A parable is a short allegorical story that teaches a moral lesson, usually told in prose.
A fable is a brief tale, often featuring animals, that conveys a moral, and is typically written in prose.
Prose is, by definition, ordinary language without metrical structure, so it is the opposite of verse.