A Locus Example

In the present paper I set out to exemplify the way in which GeoGebra can be used to solve a classic locus problem, namely the loci of the centers of symmetry of a rectangle with two vertices on one of the lines of a given triangle and the other two vertices on the other two lines. I will describe the way in which I created the GeoGebra file and then present two mathematical solutions: a synthetic (elementary) one and one using Cartesian coordinates.