Cognate
Cognates are words of different languages that are related.
Examples of cognates are English to pay and French paier. Another example is French venir and Latin venire (both meaning "to come"). These words are cognates since they originate in the same root (English borrowing "to pay" from Norman French, and French inheriting venir by the course of language evolution from Vulgar Latin).
False cognates are words that people often think to be related while they're really not. Thus, for example, many people think that the Latin verb habere and Germanic haben are cognates. However judging by the way both languages inherit Indo-European roots, the real cognate of the Germanic haben is Latin capere, "to capture" (note however that Germanic haben and English to have are cognates, and so are Latin capere to English to capture)