Answer:
The type of reasoning that can be concluded from the given statements is:
  Deductive reasoning.
Explanation:
Deductive Reasoning--
Deductive reasoning which is also known as a deductive logic or logical deduction is a logical process in which the conclusion is dependent on certain premises that are assumed to be generally true.
 It is also referred as top-down logic.
Here the premises are:
 All dogs are mammals. 
 Your pet is a dog 
Hence, the valid conclusion that can be drawn with the help of given premises is:
 Your pet is a mammal.