The document presents a set of categories for the analysis of the conceptualization of the congruence of polygons--a central theme in school mathematics--and details the application of the analytical tools used, derived from Grounded Theory, in this construction. This set of categories is called 'Interpretive Model of the Conceptualization of Polygon Congruence' (MICP). This model emerged from the interpretive analysis of empirical data recollected during the investigation. The MICP categories can be used by teachers or researchers to cover different didactic objectives (e.g., interpret the resolution of tasks with congruence content; prepare student profiles or identify their difficulties. See Peña, 2019) and it is relevant because it does not seem to exist in the literature a similar model that covers the previously stated objectives. [For the complete proceedings, see ED629884.]