Step 1: Understand Lutetium's classification.
Lutetium is a chemical element with the symbol Lu and atomic number 71. It is part of the lanthanide series in the periodic table.
Step 2: Lanthanides and their properties.
- Lanthanides are a series of 15 chemical elements from Lanthanum (La) to Lutetium (Lu), found in the f-block of the periodic table.
- Transition elements are found in the d-block of the periodic table, while actinides are in the f-block but are specifically elements 89–103.
Step 3: Apply to the options.
Lutetium is classified as a lanthanide, making option (B) the correct choice.
Final Answer:
\[
\boxed{\text{B}}
\]