The prove, triangle AFC is congruent to triangle ABE. is achieved using SAS congruence theorem
How to complete the proof
The two column proof is written as follows
Statement Reason
AB ≅ A F given
∠ ACE ≅ ∠ AEF given (Isosceles triangle)
AC ≅ AE Isosceles triangle theorem
∠ A ≅ ∠ A Reflexive property
Δ AFC ≅ Δ ABE SAS congruence theorem