In the sentence The match that was shown on TV was played, the word played is:

A present participle

A past participle

A gerund

An infinitive

In the sentence, "played" functions as the past participle of the verb "play."

The past participle is used in this context to form the passive voice ("was played"), indicating that:

the match was played by someone (the subject of the sentence is not specified)

and then shown on TV.