Which statement correctly names the congruent triangles and justifies the reason for congruence?

triangles def and acb on a coordinate plane at d 1 comma 5, e 2 comma 7, f 4 comma 5, a 4 comma 4, b 4 comma 1, and c 2 comma 3, angle e measures 63 degrees, angle f measure 45 degrees, angle c measures 63 degrees, and angle b measures 45 degrees

δbac ≅ δfde by hl
δbac ≅ δdef by hl
δbac ≅ δfde by aas
δbac ≅ δdef by aas