Monozygotic
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If they were not then they would not be called identical twins!
Identical twins are formed from a single egg that splits into two. Fraternal twins are formed from two separate eggs that are both separately fertilized. So identical twins have identical DNA, and fraternal twins do not.
Twins are not necessarily identical. They can be fraternal as well. Identical twins result when one fertilized egg splits in two. Fraternal twins result from two fertilized eggs.
They are twins!
I dont think there is such a thing as paternal twins...perhaps you are thinking of fraternal twins. In that case, they are not identical twins, they do not look the same and they can be different sexes.