What is the congruence correspondence, if any, that will prove the given triangles congruent ?

The two triangles are not congruent. The correct answer is option A.
If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.
In the image two triangles, ETP and ATJ are given. Angle F and angle J are equal due to the opposite angle property. Similarly, angle P and angle A are also equal by alternate angle property. But all the angles are not congruent.
Hence, the triangle FTP and ATJ are not congruent with each other.
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