Identify the type of verb in the sentence "The cat is sleeping."

The correct identification of the verb in the sentence "The cat is sleeping" as intransitive is based on the role the verb "is sleeping" plays in the sentence. An intransitive verb does not require a direct object to complete its meaning. In this case, "sleeping" describes the action that the subject "the cat" is performing without acting upon another object. This characteristic makes it clear that we are dealing with an intransitive verb.

To further clarify, a transitive verb would typically require an object to receive the action (for example, “The cat caught a mouse”) and a linking verb would connect the subject with a subject complement, describing a state of being rather than an action (for example, “The cat is tired”). An active verb indicates that the subject is performing the action, which "is sleeping" also embodies, but the pertinent classification here focuses specifically on the absence of a direct object, affirming the intransitive nature of the verb.