Final answer:
Anagenesis corresponds to the example of salamanders losing their eyes in a cave, while cladogenesis corresponds to the examples of rodents changing in a mixed habitat and one butterfly species giving rise to three other species.
Step-by-step explanation:
The first example of speciation, where a group of salamanders lose their eyes over time while living in a cave, corresponds to (a) Anagenesis. This is a form of speciation where one species gradually transforms into a new species. The process occurs within a single lineage.
The second example, with a group of rodents changing in comparison to their woodland-living counterparts and eventually no longer interbreeding, represents (b) Cladogenesis. This is a form of speciation where one species gives rise to multiple new species.
The third example, where one butterfly species is the progenitor of three other species, also corresponds to (b) Cladogenesis.