Final answer:
The phrase 'wearing the red shirt' is a participial phrase that provides additional details about 'the player' by acting like an adjective. It is not an infinitive, appositive, or adverb phrase.
Step-by-step explanation:
The phrase, "wearing the red shirt," is a participial phrase. A participial phrase includes a present or past participle and acts like an adjective to give more information about a noun or pronoun in a sentence. In this case, "wearing the red shirt" modifies the noun "player" to specify which player the sentence refers to.
Participial phrases are similar to adjectives in that they provide further details about a noun. The phrase doesn't contain a verb acting on a direct object, so it's not an infinitive phrase. It doesn't merely rename a noun, so it's not an appositive. And, while providing additional information about 'the player', it is not modifying a verb, adverb, or adjective, which rules out it being an adverb phrase.