Q: Are Chenrezig and Avalokitesvara the same Buddha ?...

"Are Chenrezig and Avalokitesvara the same Buddha ?" - Anonymous

Yes, they are the same. Chenrezig is a Tibetan name and Avalokiteshvara is Sanskrit.

Avalokiteshvara is a compound of Avalokita + Ishvara; the full Tibetan translation of this compound is Chenrezig-Wangchug.

Lama Zopa Rinpoche translates the name Chenrezig with phrases like 'loving-eye looking one.' The suffix Ishvara/Wangchug means 'powerful.' Another term for this same buddha is Arya Lokeshvara, i.e., Loka+Ishvara.

Guan-yin/Kuan-yin (Chinese) and Kannon (Japanese) are also the same buddha/deity, although the iconography and the perception of the gender can be quite different.