Name the plant cell organelle where photosynthesis occurs

It is called the Chloroplast.

Explanation:

"In plants, photosynthesis takes place in chloroplasts, which contain the chlorophyll. Chloroplasts are surrounded by a double membrane and contain a third inner membrane, called the thylakoid membrane, that forms long folds within the organelle."

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a dolphin's flipper, bird's wing, cat's leg.