If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true? triangles ABC and FDE, in which angles A and D are right angles

1. ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
2. segment DE ~ segment AB because corresponding parts of similar triangles are similar
3. ΔABC ~ ΔFDE because of the AA similarity postulate
4. segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations