The type of figurative language that uses the words "like" or "as" to compare two things is called a simile.
Here’s a brief overview of the other terms you mentioned:
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Personification: Attributing human characteristics to non-human objects or abstract concepts.
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Hyperbole: An exaggerated statement not meant to be taken literally, used for emphasis or effect.
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Metaphor: A direct comparison between two unlike things without using "like" or "as."
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Idiom: A phrase or expression that has a figurative meaning different from its literal meaning.
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Literal Language: Language that means exactly what it says, without figurative meaning.
If you have more questions or need examples, feel free to ask!