Respuesta :

Answer: HL

Step-by-step explanation: Because I passed this on Acellus

Triangle ABD and ACD are congruent based on HL congruence theorem

What are congruent figures?

Two figures are said to be congruent of they have the same shape and all the corresponding sides and angles are congruent.

The HL (hypotenuse leg) congruence theorem states that if the hypotenuse and one leg of a triangle is congruent to another triangle, then both triangles are congruent.

In triangle ABD and ACD;

BD = CD and AD ≅ AD

Hence Triangle ABD and ACD are congruent based on HL congruence theorem

Find out more on congruent figures at: https://brainly.com/question/1675117