Is the word pátio the same in Brazilian and European Portuguese?

Yes

The word "pátio" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the "t" before the "i" undergoes palatalization, meaning it sounds like the "ch" in the English word "cheese" (pronounced approximately as pát-chu). In Continental Portuguese, the "t" is pronounced as a dental or alveolar consonant, maintaining a much sharper and clearer "t" sound (pronounced approximately as pát-yu).

Brazilian Portuguese Examples:

1. As crianças estão brincando no pátio da escola. (The children are playing in the school courtyard.)
2. O pátio do prédio é muito bem cuidado. (The building's courtyard is very well cared for.)
3. Deixe os vasos de flores no pátio. (Leave the flower pots in the patio.)
4. O pátio interno é um lugar muito calmo. (The inner courtyard is a very calm place.)
5. O pátio de manobras está ocupado agora. (The maneuvering yard is occupied right now.)

Continental Portuguese Examples:

1. As crianças estão a brincar no pátio da escola. (The children are playing in the school courtyard.)
2. O pátio do prédio é muito bem cuidado. (The building's courtyard is very well cared for.)
3. Deixa os vasos de flores no pátio. (Leave the flower pots in the patio.)
4. O pátio interno é um lugar muito calmo. (The inner courtyard is a very calm place.)
5. O pátio de manobras está ocupado agora. (The maneuvering yard is occupied right now.)