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 ~ δfde because of the definition of similarity in terms of similarity transformations
δabc ~ δfde because of the aa similarity postulate
segment bc ~ segment ef because of the definition of similarity in terms of similarity transformations
segment bc ~ segment ef because corresponding parts of similar triangles are similar