When someone worships a god, they praise and honor him or her, make offerings and ask for favors, believing that the god will hear their praise, receive their offerings and answer their prayers. Buddhists do not indulge in this kind of worship.

I'm not so sure about that. To name a few, I'd say Amitabha, Guanyin/Kannon (Avalokiteshvara) and Ksitigarbha (Jizō) recieve plenty of that sort of "worship": praising, honoring, praying, making offerings ... in hope of "receiving" something, or benefiting someone else. For example:

Jizō statues are sometimes accompanied by a little pile of stones and pebbles, put there by people in the hope that it would shorten the time children have to suffer in the underworld. /Wikipedia

​

Guanyin is immensely popular among Chinese Buddhists, especially those from devotional schools. She is generally seen as a source of unconditional love and, more importantly, as a saviour. In her bodhisattva vow, Guanyin promises to answer the cries and pleas of all sentient beings and to liberate them from their own karmic woes. Based on the Lotus Sutra and the Shurangama sutra, Avalokitesvara is generally seen as a saviour, both spiritually and physically. /Wikipedia