As shown in the figure, in the quadrilateral ABCD, ab = ad, AC bisects ∠ BCD, AE ⊥ BC, AF ⊥ CD. If there are triangles congruent with △ Abe in the figure, please explain the reason

As shown in the figure, in the quadrilateral ABCD, ab = ad, AC bisects ∠ BCD, AE ⊥ BC, AF ⊥ CD. If there are triangles congruent with △ Abe in the figure, please explain the reason

In the graph, △ ADF and △ Abe are congruent. ∵ AC bisects ∠ BCD, AF ⊥ CD, AE ⊥ CE; ∵ AF = AE, ∠ AFD = ∠ AEB = 90 ° in RT △ ADF and RT △ Abe, ∵ AB = ADAF = AE, ≌ RT △ ADF ≌ RT △ Abe