✔ 最佳答案
∠ADC + ∠BAD = 180° (int.∠s supp.) ......(1)
∠FAQ + ∠BAF + ∠QAD + ∠ BAD = 360° (∠s at a pt.)
∠FAQ + 90° + 90° + ∠ BAD = 360° (property of square)
∠FAQ + ∠ BAD = 180° ...... (2)
(1) - (2) :
∠ADC - ∠FAQ = 0
∠ADC = ∠FAQ
AD = AQ (property of square)
CD = AB(opp. sides equal) = AF (property of square)
∴ ΔFAQ ≌ ΔCDA (S.A.S.)