Question

Question was provided via image upload.

Explanation:

Step1: Identify congruent sides

From the diagram, \( AB = AD \) (marked with two ticks), \( BC = DC \) (marked with one tick), and \( AC \) is a common side, so \( AC = AC \).

Step2: Apply SSS congruence criterion

The Side - Side - Side (SSS) congruence criterion states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent. For \( \triangle ABC \) and \( \triangle ADC \), \( AB = AD \), \( BC = DC \), and \( AC = AC \). So \( \triangle ABC\cong\triangle ADC \) by SSS.

Answer:

\( \triangle ABC\cong\triangle \boldsymbol{ADC} \) by \(\boldsymbol{SSS}\) (Side - Side - Side) congruence criterion.