From ISOGG Wiki
The matriline is a term used in genetic genealogy to describe the line of descent through the all-female line. It also sometimes known as the enatic, uterine or umbilical line.
The matrilineal line corresponds with the path of transmission of mitochondrial DNA. (Note, however, that males also receive mtDNA from their mothers but they cannot pass it on to the next generation.)
In contrast the term maternal line strictly speaking refers to any line of descent on the mother's side of the family.
The term patriline refers to the line of descent through the all male patrilineal line.