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Triangle ABC and triangle DEF are shown on the coordinate plane.

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

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

ΔBAC ≅ ΔFDE by HL
ΔBAC ≅ ΔDEF by HL
ΔBAC ≅ ΔFDE by AAS
ΔBAC ≅ ΔDEF by AAS