To determine what is common between a parrot, platypus, and kangaroo, we need to evaluate each of the given options:
Toothless jaws:
Parrots have beaks instead of teeth, so they have toothless jaws.
Platypuses, however, have rough pads but do not have teeth as adults.
Kangaroos have teeth in their jaws for grinding grass.
Thus, this trait is not common to all three animals.
Functional post-anal tail:
All three animals have a tail, but the function and presence differ in relation to a post-anal characteristic common in reptiles and some aquatic animals.
The role and structure of the tail are different in each, and this specific trait isn't uniformly relevant.
Ovoparity:
Ovoparity refers to laying eggs, as seen in platypuses, which are monotremes and lay eggs.
Parrots are also oviparous.
Kangaroos give birth to live young, eliminating this as a common factor.
Homoiothermy:
All three animals—parrot, platypus, and kangaroo—are warm-blooded or homoiothermic, meaning they maintain a constant body temperature regardless of environmental conditions.
This is a trait common to all mammals and birds.
Therefore, the correct answer is Homoiothermy, as it is a shared trait among all three species being warm-blooded animals.