In triangle \(ABC\), \(AB\) is congruent to \(AC\), the measure of angle \(ABC\) is \(72^{\circ}\)and segment \(BD\) bisects angle \(ABC\) with point \(D\) on side \(AC\). If point \(E\) is on side \(BC\) such that segment \(DE\) is parallel to side \(AB\), and point \(F\) is on side \(AC\) such that segment \(EF\) is parallel to segment \(BD\), how many isosceles triangles are in the figure shown?
