Question

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

Explanation:

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

Answer:

D. \(\overline{AB}\cong\overline{PQ}\)