The difference between Shape up and Turn into
When used as verbs, shape up means to improve, whereas turn into means to transform into.
check bellow for the other definitions of Shape up and Turn into
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Shape up as a verb (intransitive, idiomatic):
To improve; to correct one's bad habits or behavior.
Examples:
"He'd better shape up soon, or he'll fail the class."
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Shape up as a verb (intransitive, idiomatic):
To take shape; to transform into or become.
Examples:
"The fog has vanished and it's shaping up to be a beautiful day."
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Turn into as a verb (idiomatic, intransitive):
To transform into; become.
Examples:
"The carriage turned into a pumpkin at midnight."
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Turn into as a verb (idiomatic, transitive):
To transform into; cause to become.