Question

determine which postulate or theorem (AAS,ASA,HL) can be used to prove that the triangles are congruent.​

Answer 1

The postulate or theorem used to prove triangle congruence depends on the given information about the triangles.

Step-by-step explanation:

The postulate or theorem that can be used to prove that the triangles are congruent depends on the given information about the triangles. Here are the conditions for each postulate or theorem:

• AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.
• ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
• HL (Hypotenuse-Leg): If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By comparing the given information about the triangles with the conditions of each postulate or theorem, you can determine which one to use to prove the congruence.