Question

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

A) Triangle BAC ≅ triangle FDE by HL
B) Triangle BAC ≅ triangle DEF by HL
C) Triangle BAC ≅ triangle FDE by AAS
D) Triangle BAC ≅ triangle DEF by AAS

Answer 1

The correct statement is A) Triangle BAC ≅ triangle FDE by HL.

Step-by-step explanation:

The correct statement that names the congruent triangles and justifies the reason for congruence is:

A) Triangle BAC ≅ triangle FDE by HL

This statement is correct because HL (Hypotenuse-Leg) is a valid congruence criterion in triangles. It states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. In this case, triangle BAC and triangle FDE satisfy this criterion, making them congruent.