Question

1. in △mno and △pqr, ∠mno≅∠pqr and no≅qr. what additional congruence is needed to prove that △mno and △pqr are congruent by sas postulate? a. mo≅pr b. mn≅pq c. ∠mon≅∠prq d. ∠omn≅∠rpq

Explanation:

Step1: Recall SAS postulate

The SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
We are given that $\angle MNO\cong\angle PQR$ and $NO\cong QR$. The sides adjacent to $\angle MNO$ and $\angle PQR$ are $MN$ and $PQ$ respectively. For the SAS postulate, we need $MN\cong PQ$.

Answer:

B. $MN\cong PQ$