The congruent statement is ∆ABE ≅ ∆ACE(Angle-Side-Angle ASA).
What is congruence?
Congruence is a geometric term indicating equality in shape and size between geometric figures or objects, maintaining identical properties.
A congruent statement expresses that two geometric figures or objects are congruent. For example, "Triangle ABC is congruent to Triangle DEF."
From the figure
Given
AD ≅ AE and angleB ≅ angle C
angleEAB ≅ angleDAC (reflective property of congruence)
∆ABE ≅ ∆ACE(Angle-Side-Angle ASA)
Congruence of these triangles means that corresponding sides are equal, and corresponding angles are equal. This follows from the given sides being equal and the given and implied angles being equal.