Amino acids and peptide bonds
Amino acids are small molecules that can link together. The chemical link between them is a peptide bond. Two amino acids form a dipeptide, three form a tripeptide, and longer chains may be called oligopeptides, polypeptides, or proteins depending on length, folding, and context.
In ordinary language, peptides are usually shorter than proteins, but there is no single magical cutoff that turns one into the other. Insulin, for example, is often described as a peptide hormone even though it has two chains and a defined three-dimensional structure.