ΔBAC ≅ ΔDEF by AAS
This is because both triangles have two pairs of congruent angles (angle B is congruent to angle F, angle A is congruent to angle D) and one pair of congruent sides (side AC is congruent to side DF). This satisfies the AAS (Angle-Angle-Side) congruence criteria.
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
1 answer