"her smile was as bright as the sun" A:simile B: metaphor C: alliteration. D: personification

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The answer is A. Simile.

Simile is a figure of speech that draws comparison using “as” or “like”. In this case, ‘smile’ is compared as ‘bright as the sun’ therefore it is an example of simile.
Metaphor on the other hand is a figure of speech that states without using the words “like” or “as”.  
An example of alliteration is a tongue twister where the initial consonant sound repeats to the next word/s. For example, Dunkin Donut.