Question

given the figure shown to the right, write a two - column proof to prove \\( \angle cae\cong\angle cea \\).
complete the proof below.

statement	reason
\\( \triangle abc\cong\triangle edc \\)

Explanation:

Step1: Recall triangle congruence criteria

We have two angles (\(\angle BAC\cong\angle DEC\), \(\angle ABC\cong\angle EDC\)) and a non - included side (\(BC\cong CD\)) given.

Step2: Apply AAS criterion

The Angle - Angle - Side (AAS) congruence criterion states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

AAS