Question

e congruence
could △abc be congruent to △adc by sss? explain.
no, because (overline{ab}) is not congruent to (overline{ac}).
yes, but only if (overline{ab}congoverline{dc}).
no, because (overline{ab}congoverline{da}).
yes, but only if (overline{bc}congoverline{dc}).

Explanation:

Step1: Recall SSS Congruence Rule

SSS (Side - Side - Side) congruence rule states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. In \(\triangle ABC\) and \(\triangle ADC\), we already know that \(AC = AC\) (common side) and \(AB=AD\) (marked in the figure).

Step2: Analyze the Missing Side

For \(\triangle ABC\cong\triangle ADC\) by SSS, we need \(BC = DC\).

Answer:

Yes, but only if \(\overline{BC}\cong\overline{DC}\).