Question

Choose the congruence theorem that you would use to prove the triangles congruent.

SSS
SAS
ASA
AAS

Answer 1

The congruence theorem that you can use is AAS because you can see from the image that 2 angles and 1 side are equal. AAS(angle angle side)

Answer 2

Answer:- AAS congruence theorem.

Explanation:-

• A theorem is a statement that can be proven by mathematical operations and arguments.

• A postulate is statement which is true without any formal proof.

In the given question , there is only one theorem i.e. AAS theorem and all the remaining options (SSS ,SAS , ASA ) are postulate not theorem.

Therefore, AAS congruence theorem is the right answer.(as in the given picture both triangles have two equal angles and one side )

The AAS (angle-angle-side) theorem states that if two angles and any side of one triangle are equal to two angles and any side of another triangle, then the triangles are congruent.