Question

PLS HELP 30 POINTS AND BRAINLIEST!!! Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔEFD by HL ΔABC ≅ ΔDEF by HL ΔABC ≅ ΔEFD by AAS ΔBAC ≅ ΔDEF by AAS

Answer 1

Answer:

ΔABC ≅ ΔEFD by HL

Step-by-step explanation:

The two triangles given, ∆ABC and ∆EFD, are right triangles.

BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.

Therefore, BC ≅ DF.

AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.

Therefore, AC ≅ DE.

Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.

Therefore, ΔABC ≅ ΔEFD by HL