Question

using the triangle below, if \\( \angle c a e \cong \angle a e c \\), select the two segments that must be congruent.

Explanation:

Step1: Recall the isosceles triangle theorem

In a triangle, if two angles are congruent, then the sides opposite those angles are congruent.

Step2: Identify the sides opposite the congruent angles

In \(\triangle AEC\), \(\angle CAE\) is opposite side \(CE\) and \(\angle AEC\) is opposite side \(AC\).

Answer:

\(AC\) and \(CE\)