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The two structures that would positively identify an animal cell are; the vesicle and the central vacuole.
Living organisms are categorizes into plants and animals. Although they share some similarities, plant and animal cell structure also have some glaring differences that distinguish their cellular structures. In the first pair of the Golgi apparatus and chromatin, it should be noted that the Golgi apparatus is present in both the animal and plant cells and this disqualifies the pair from further consideration as basis for positive identification. The second pair of Lysosomes and flagellum is also disqualified because the flagella may occur in both plant and animal cells. The third pair of flagellum and nucleus is also disqualified because of the flagellum which occurs in some plant and animal cells. The nucleus occurs in both plant and animal cells. The fourth pair of vesicle and central vacuole qualifies for an animal cell identifier.
The central vacuole is a type of vesicle and is present in the plant cell (plant cells have a single large and centrally located vacuole which takes up approximately 90% of the cell volume). The animal cell may also have vacuoles but they are much smaller and not centrally located. Therefore an animal cell can be positively identified by observing the type of vacuole.