Final answer:
Kitchen receptacles that are not required to be protected by ground-fault circuit-interrupters are the ones with two-prong plugs and nonconducting cases.
Step-by-step explanation:
In a kitchen, the receptacles that are not required to be protected by ground-fault circuit-interrupters (GFCIs) are the ones that are equipped with two-prong plugs instead of three-prong plugs. These appliances have nonconducting cases and are called doubly insulated. The lack of a ground wire in these appliances is compensated by the insulation and design of the case, which prevents the risk of electrical shock. Examples of appliances with two-prong plugs include power tools with impact resistant plastic cases.