The correct answer is: A. The new organisms are genetically identical to the parent.
Asexual reproduction is a type of reproduction that does not involve the fusion of gametes. This means that the new organism is genetically identical to the parent organism. Sexual reproduction, on the other hand, does involve the fusion of gametes. This means that the new organism is a genetic combination of the two parent organisms.
Option B is incorrect because gametes are not produced in asexual reproduction. Option C is incorrect because the nuclei of gametes do not fuse in asexual reproduction. Option D is incorrect because the offspring does not show variations in asexual reproduction.