(a) White blood cells that show phagocytosis are called macrophages and neutrophils; (b) White blood cells that produce antibodies are called B cells.
Explanation:
Phagocytosis:
This is the process of engulfing and destroying foreign particles by white blood cells. Macrophages and neutrophils are primary phagocytes in the body.
Antibody production:
B cells are a type of white blood cell that produces antibodies, which are proteins that specifically target and neutralize invading pathogens.