A and B antigens help determine blood types and are present in various body fluids and tissues. Antigens and antibodies can form lattices through bivalent and polyvalent interactions, resulting in precipitation. Precipitation reactions can be measured through techniques like immunodiffusion assays and radial immunodiffusion to analyze antigen-antibody interactions and concentrations. Agglutination, another antigen-antibody reaction, involves antibody-mediated clumping of particulate antigens and is used for applications like blood typing and bacterial infection diagnosis.