The answer to your question would be that the statement about the sentence that is true is the following one: The sentence needs commas because the partipial phrase is nonessential. That is, the correct option would be B.
Participial phrases can either be essential or nonessential depending on the type of information they add to the sentence. A participial phrase is essential when the information it provides is essential to the meaning of the sentence and therefore no commas are used. If the essential participial phrase was removed, the meaning of the sentence would be altered. On the other hand, participial phrases are nonessential when they provide nonessential information to the sentence. They are set off with commas and can be removed from the sentence without altering its meaning.