The word pasta comes from Italian pasta which means basically "paste", but also "dough", "pasta", or "pastry" (as in small cake). Today the word "pasta" is reserved for Italian-style noodles in English-speaking countries, while the word "noodle" has a more general meaning, including many similar Asian products. The word noodle actually is derived from the German Nudel, meaning... pasta.
Pasta can also denote dishes in which pasta products are the primary ingredient, served with sauce or seasonings.