Question

Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.

Answer 1

Yes, the triangles are congruent by AAS. △ABC is congruent to △YZX.

Explanation:

Answer 2

In triangle ABC and triangle XYZ
Angle ABC = Angle XZY (Given)
Angle BAC = Angle XYZ (Given)
AC = XY (Given)
By A.A.S congruence rule,
Triangle ABC ~ Triangle XYZ


A.A.S congruence rule - According to this congruence rule when two angles and the following side are equal then the triangle is said to be congruent.