Which method would you use to prove that the two triangles are congruent?
sas
sss
aas
asa

 The correct option is (A) SAS.

Step-by-step explanation:  We are given to select the method that would be used to prove that the two triangles are congruent.

Let us name the given triangles as ABC and EBD as shown in the attached figure below.

Then, according to the given information, we have

Also, ∠ABC and ∠EBD are vertically opposite angles, so they must have equal measures.

That is,

So, in triangles ABC and EBD, we have

That is, two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of the other triangle.

Therefore, by side-angle-angle postulate, the two triangles are congruent.

Thus,

ΔABC ≅ ΔEBD (SAS postulate).

Option (A) is CORRECT.

i think c. but don't trust it.

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right