Question

determine whether the conditions ∠q≅∠n, ∠p≅∠m, and (overline{pq}congoverline{mn}) are sufficient to prove that (\triangle pqrcong\triangle mno) and justify your answer. are the conditions ∠q≅∠n, ∠p≅∠m, and (overline{pq}congoverline{mn}) sufficient to prove that (\triangle pqrcong\triangle mno)? no yes justify your answer with the congruence condition. choose the correct answer below none aas asa

Explanation:

Step1: Recall congruence postulates

We know AAS (Angle - Angle - Side) and ASA (Angle - Side - Angle) are triangle - congruence postulates.

Step2: Analyze given conditions

We have two pairs of equal angles ($\angle Q\cong\angle N$ and $\angle P\cong\angle M$) and a pair of non - included equal sides $\overline{PQ}\cong\overline{MN}$.

Step3: Identify congruence postulate

The AAS postulate states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. Here, the given conditions match the AAS postulate.

Answer:

Yes
B. AAS