Corn, peppers, tomatoes, and cucumbers all contain seeds and are derived from the ovary of a flowering plant. Therefore, in botanical terms, they are .

Fruits

Explanation:

In natural science, an organic product is the matured ovary, together with seeds, of a flowering plant.  In numerous species, the fruit incorporates the matured ovary and encompassing tissues.   Fruits are the methods by which flowering plants disperse seeds.  In cooking, when talking about food as nourishment, the term normally refers to simply those plant organic fruit that are sweet and plump, examples of which incorporate plum, apple and orange.