Prokaryotic and eukaryotic cells share several structures. The correct options from your list are:
A. ribosomes - Both prokaryotic and eukaryotic cells have ribosomes, although they may differ in size and structure.
B. flagella - Some prokaryotic and eukaryotic cells possess flagella for movement, although their structure and composition are different.
D. DNA - Both types of cells contain DNA as their genetic material. In prokaryotes, DNA is typically circular and located in the nucleoid, while eukaryotes have linear DNA organized into chromosomes within a nucleus.
Therefore, the structures common to both prokaryotic and eukaryotic cells are A, B, and D.
C. mitochondria is present only in eukaryotic cells, not prokaryotic cells.
So, the correct selections are A, B, and D.