The main objective of this work is to generate a bibliographic document that gathers the main tests of thermodynamic consistency for three-component systems, the principal mentioned methods are the Herington, Broughton-Brearley, Li & Lu, McDermott-Ellis, Ochi/Kato/Kojima, L-W and the Fernández test, exposing some of the advantages and disadvantages of each, the important criteria for the selection of the test to be used in an equilibrium study of phases (mainly vapor liquid and related equilibria); and some of the factors that affect the thermodynamic consistency, which makes it easier to make a correct analysis of the reliability of experimental data obtained in different chemistry and engineering contexts