Centriole Replication.

Centrioles replicate autonomously like mitochondria and peroxisomes. They begin from centers which contain proteins needed for their formation
(tubulin, etc.), Then the procentrioles form. Each grows out a single microtubule from which the triplet can form. Once a centriole is made, daughter
centrioles can grow out from the tubules at right angles as shown in this cartoon. These then add to the daughter cell (in a dividing cell), or they move
to the periphery and form the basal body for the cilium. http://cellbio.utmb.edu/cellbio/cilia.htm