As shown in the figure, ABCD is a square, point E is on BC, and DF ⊥ AE is on F. please determine a point G on AE to make △ ABG ≌ △ DAF, and explain the reason

It is proved that if BG ⊥ AE is made in G, ∵ quadrilateral ABCD is a square, DF ⊥ AE, ∵ AFD = ∠ AGB = 90 °, ∵ DAF + ∠ gab = 90 °, DAF + ∠ ADF = 90 °, and ≌ ADF = ∠ gab, ad = AB, ≌ ADF ≌ bag

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