Final answer:
In a pericentric inversion, the centromere is included in the inversion, and this can affect the lengths of chromosome arms. In a paracentric inversion, the centromere lies outside the inverted region, so it only affects one arm of the chromosome.
Step-by-step explanation:
Inversions on a chromosome are classified into two types depending on the position of the centromere. In a pericentric inversion, the centromere lies within the inverted region of the chromosome, indicating a change that includes the centromere itself. This type of inversion can change the relative lengths of the chromosome arms, which makes it identifiable during chromosomal studies. Conversely, in a paracentric inversion, the centromere is located outside the inverted region, meaning that the inversion occurs in one of the chromosome arms and does not include the centromere.