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The ability to transformed  into thin sheet on applying force is called malleability

 The ability to transform into thin wire on applying of force is called Ductility.

Metals can be considered as a collection of positive  cations surrounded and hold by the   valence electron. There is strong electrostatic interaction between the positive center and the electron which leads to strong metallic Bond formation.

Transformation into thin sheets or into  thin  wire does not lead to  breaking of bonds and Metals becomes  both malleable and ductile.

Metals are  (A ) malleable and ductile

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