Question

question 10 of 10 what else would need to be congruent to show that △abc≅ △pqr by sss? given: $overline{ac}congoverline{pr}$, $overline{ab}congoverline{pq}$ a. $angle acongangle p$ b. $overline{ac}congoverline{pq}$ c. $overline{bc}congoverline{qr}$ d. $overline{ab}congoverline{ba}$

Explanation:

Step1: Recall SSS congruence criterion

The SSS (Side - Side - Side) congruence criterion states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Given that $\overline{AC}\cong\overline{PR}$ and $\overline{AB}\cong\overline{PQ}$, we need the third - pair of corresponding sides to be congruent.

Step2: Identify the third - pair of sides

The third pair of corresponding sides for $\triangle ABC$ and $\triangle PQR$ are $\overline{BC}$ and $\overline{QR}$. For $\triangle ABC\cong\triangle PQR$ by SSS, we need $\overline{BC}\cong\overline{QR}$.

Answer:

C. $\overline{BC}\cong\overline{QR}$