Step 1: Understanding the Concept:
Stem cell transplants can be of different types.
The source of stem cells determines the type.
Step 2: Key Formula or Approach:
No specific formula.
Need to understand the types of transplants.
Step 3: Detailed Explanation:
Autologous transplant uses the patient's own stem cells.
Syngenic transplant uses cells from an identical twin.
Allogeneic transplant uses cells from a donor.
Homologous is not a standard term for transplant.
Thus, using a patient's own stem cells is autologous.
Step 4: Final Answer:
A stem cell transplant using a patient's own stem cells is autologous.
Hence, the correct option is (B).