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?

o a mo≅pr
o b mn≅pq
o c ∠mon≅∠prq
o 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.

Step2: Identify given congruences

We are given that $\angle MNO\cong\angle PQR$ and $NO\cong QR$. The included angle $\angle MNO$ has sides $NO$ and $MN$, and the included angle $\angle PQR$ has sides $QR$ and $PQ$.

Step3: Determine missing congruence

To use the SAS postulate, we need the congruence of the other pair of sides that form the given congruent angles. So we need $MN\cong PQ$.

Answer:

B. $MN\cong PQ$