To determine which animal is a closer relative to the perch based on a phylogenetic tree, we would need to know the specific relationships and branching patterns depicted in that tree. However, in general, if you're comparing those options:
- Mouse - Mammal
- Lizard - Reptile
- Pigeon - Bird
- Hagfish - Jawless fish
The perch is a type of fish, and among the options given, the hagfish is the closest relative because both hagfish and perch belong to the broader group of fish, whereas the mouse, lizard, and pigeon are more distantly related within the vertebrate lineage.
Thus, the correct answer is Hagfish.