Answer:
The correct answer would be Cladistic analysis
Cladistics is one of the approaches used in biological classification in which organisms are grouped on the basis of recent common ancestors.
The original methods were derived from the work of Willi Hennig who used the term phylogenetic systematic in his book.
Similarly, John wants to show the evolutionary relationship between a cat and a lion on the basis of their similarities as well as common ancestors. Thus, he is trying to cladistic analysis between cat and lion.