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Metaphor :When attempting to describe an image or event, an author often will find it useful to compare what she's describing to another image or event. This is called metaphor.

eg :“She is all states, and all princes, I.”

simile :
simile is a figure of speech that makes a comparison, showing similarities between two different things. Unlike a metaphor, a simile draws resemblance with the help of the words “like” or “as”. Therefore, it is a direct comparison.

Her cheeks are red like a rose.
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Simile-  A simile is a figure of speech that compares two things that are alike in some way.This is usually told with 'like' or 'as'.

  Example- Her voice is sweet like honey.
                   She sings like a nightingale.
                   Too much of everything is as bad as too little.
                    He is as brave as a lion.
                   Last night,Marry slept like a dog.
Metaphor- An identification between two things,persons,ideas etc. A metaphor is when you are comparing more than one item or thing to another.

She is a beautiful rose.(comparing 'her' to a beautiful rose.
Life is a rollercoaster. (comparing 'life' with a roller coaster)
My house is a prison.(comparing 'house' with a prison)
She is my life.(comparing 'her' to life)