Teaching of applied computer graphics is of great importance in computational simulation of engineering problems. Currently, many user- friendly computer programs have improved this work, as is the case with MATLAB. The generation and manipulation of a geometric model, which is a more realistic and appropriate way to represent the problem to be studied, are very important steps in the computational simulation. The use of the mouse allows these steps to become more interactive and easy to understand. For this reason, in this work a generic class is developed in the context of object-oriented programming (OOP) in the MATLAB environment, which allows managing mouse events in a canvas. The goal of this OOP class is to be used as a base class in the development of graphics and interactive programs in MATLAB, mainly for educational purposes. In order to meet these expectations, an OOP paradigm was adopted, which enables the creation of reusable codes. Together to this technique, the Unified Modeling Language (UML) is used, a graphic language that allows the visualization, construction and documentation of the development of an object oriented computational system. To determine the correct functioning and practicality of the developed class, two interactive applications are implemented in MATLAB; the first to draw frame structures in 2D and the second to demonstrate the Mohr circle for stress state.