Question

given: \\( \angle a \cong \angle b, ae = be \\) prove: \\( \triangle aed \cong \triangle bed \\) what is the \statement\ for step 3 of the proof?

Explanation:

Step1: Analyze the Vertical Angle Theorem

Vertical angles are equal. In the given figure, \(\angle AED\) and \(\angle BEC\) are vertical angles.

Step2: Determine the statement for step 3

Since the reason for step 3 is the Vertical Angle Theorem, the statement must be about the equality of the vertical angles.

Answer:

\(\angle AED\cong\angle BEC\)