If a series of rigid transformations maps ∠f onto ∠c where ∠f is congruent to ∠c, then which of the following statements is true?

triangles abc and fde, in which angles a and d are right angles

δabc ~ δdef because of the definition of similarity in terms of similarity transformations

segment bc ~ segment de because of the aa similarity postulate
δabc ~ δdef because of the aa similarity postulate

segment bc ~ segment de because of the definition of similarity in terms of similarity transformations