Final answer:
The Anti-streptolysin O titer is the laboratory study that would assist in confirming the diagnosis of rheumatic fever in a child.
Step-by-step explanation:
The laboratory study that would assist in confirming the diagnosis of rheumatic fever in a child would be the Anti-streptolysin O titer.
Rheumatic fever is caused by a cross-reaction between patient antibodies to bacterial surface proteins and similar proteins found in the body. The Anti-streptolysin O (ASO) titer measures the level of antibodies against streptolysin O, a protein produced by the bacteria that causes strep throat. Elevated ASO levels indicate recent or current streptococcal infection, which is a common precursor to rheumatic fever.