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 Side - Angle - Side (SAS) 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 included sides for these angles in $\triangle MNO$ and $\triangle PQR$ respectively are $MN$ and $PQ$.

Step2: Determine the required congruence

For $\triangle MNO$ and $\triangle PQR$ to be congruent by SAS, we need $MN\cong PQ$.

Answer:

B. $MN\cong PQ$