Bacteria are prokaryotic organisms. Being prokaryotes, bacteria do not have a nucleus in their cells. Their DNA or the genetic material lies in the cytoplasm itself. Therefore, if the observed cells have a nucleus and other membrane-bound organelles, this means that those cells were not the bacterial cells. Bacterial cells also do not have other membrane-bound organelles such as mitochondria, endoplasmic reticulum, etc.
A trait is a characteristic, such as color or size, that is inherited by an offspring from its parents. The genes that control a trait come in pairs, one gene from each parent. If a gene pair contains a dominant allele, then the offspring will show this dominant trait.