Which observation proves that a cell is a eukaryote?. A)It contains DNA. B)It has DNA inside a nucleus.. C)It has a cell membrane.. D)it contains ribosomes. Option B) It has DNA inside a nucleus is the observation that proves that a cell is a eukaryote. Eukaryotic cells are characterized by having membrane-bound organelles, including a nucleus that houses the cell's genetic material. This is different from prokaryotic cells which lack a nucleus and other membranebound organelles. In eukaryotic cells, DNA is contained within a well-defined nucleus, separated from the cytoplasm by a nuclear membrane. This arrangement ensures that the genetic material is protected, organized, and regulated, allowing for more complex genetic processes to occur, such as DNA replication and gene expression. Therefore, the presence of DNA inside a nucleus is a defining characteristic of eukaryotic cells.