Final answer:
The nonfluent aphasias among the options are Broca's aphasia and transcortical motor aphasia. Wernicke's aphasia and receptive are not nonfluent; they are considered fluent aphasias because speech remains smooth, but comprehension is affected.
Step-by-step explanation:
The question asks which of the following are nonfluent aphasias. Nonfluent aphasia is characterized by difficulty in forming words and sentences; speech is typically slow, takes effort, and is broken or halting. Broca's aphasia and transcortical motor aphasia fit this description. Broca's aphasia is an expressive or nonfluent language disorder where speech production is compromised with broken or halting speech and possible loss of grammar. Transcortical motor aphasia also involves impaired speech production without affecting comprehension. In contrast, Wernicke's aphasia is a type of fluent aphasia known as receptive aphasia, where there is a loss of the ability to understand received language, but the production of speech remains fluent. The word receptive in the question is related to Wernicke's aphasia, which is not nonfluent. Therefore, the nonfluent aphasias are Broca's and transcortical motor aphasia.