Question

Name the congruent triangles and justify the reason for congruence. (1 point)

Ο LABC = ΔEDF by SSS
Ο ΔΑΒC = ∆FED by HL
Ο ΔΑΒC = ΔFDE by SSS
Ο ΔΑΒC = LFDE by HL

Answer 1

Explanation:

ΔΑΒC = ∆FED by HL (Hypotenuse-Leg congruence): This statement states that triangle ABC is congruent to triangle FED. The justification for their congruence is HL, which means that both triangles have a congruent hypotenuse and a congruent leg.

2. ΔΑΒC = ΔFDE by SSS (Side-Side-Side congruence): This statement states that triangle ABC is congruent to triangle FDE. The justification for their congruence is SSS, which means that all three sides of the triangles are congruent to each other.

Therefore, the congruent triangles based on the given statements and justifications are ΔΑΒC = ∆FED by HL and ΔΑΒC = ΔFDE by SSS.