Respuesta :

Answer:

SAS

Step-by-step explanation:

It doesnt show the hypotenuse so its no HL

It doesnt show 2 angles so its not SAA or ASA

It doesnt show three sides so its not SSS

The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS

The theorem that justify why the two larger triangles are congruent is: SAS.

What is SAS?

SAS means side-angle-side congruence theorem, which states that, two triangles are congruent if both have two pairs of congruent sides and a pair of congruent included angles.

Thus, the image shows two angles having:

  • two pairs of congruent sides - equal leg and a shared leg
  • a pair of congruent included angles - right angles.

Therefore, the theorem that justify why the two larger triangles are congruent is: SAS.

Learn more about SAS on:

https://brainly.com/question/14252518

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