Yes, this is one of the defining features that distinguishes them from prokaryotes when they are in the form of membrane bound organelles.
Prokaryotes
Eukaryotes have membrane-bound organelles such as the nucleus, endoplasmic reticulum, Golgi apparatus, and mitochondria, which prokaryotes lack. Eukaryotes also have a cytoskeleton for structural support and transport, which is absent in prokaryotes. Additionally, eukaryotes have a more complex and organized internal structure compared to prokaryotes.
Eukaryotes have a nucleus, prokaryotes only have a nucleoid (region where the cell's DNA is located, not enclosed by a membrane). But that's not the only difference. Prokaryotes also lack almost all the other organelles that eukaryotes have. Prokaryotes only have the nucleoid and free ribosomes in their internal structure.
Other eukaryotes may eat eukaryotes and some prokaryotes may eat eukaryotes.
Eukaryotes are larger and usually more complex than prokaryotes. Eukaryotes have many membrane-bound organelles but prokaryotes do not tend to have many organelles (and they are rarely surrounded by a membrane).
Eukaryotes can be single-celled or multi-celled and have a defined internal organization with a nucleus and membrane-bound organelles. Prokaryotes are typically single-celled and lack a true nucleus or membrane-bound organelles in their structure.
eukaryotes
No, animals are eukaryotes.
No, many eukaryotes are microscopic.
No. They are eukaryotes.
Eukaryotes, they have a nucleus, while prokaryotes do not.
Yes, Mitochondria are specific to eukaryotes.