Answer:
The postulate that applied if \($\triangle L N M \cong \triangle O Q P$\) is an option (b) Congruent -ASA.
Step-by-step explanation:
What is Congruent -ASA?
By the Congruent -ASA rule, two angles in one triangle are congruent with two angles in a second triangle, and if the sides included in both triangles are also congruent, then the triangles are congruent.
Determine the postulate if \($\triangle L N M \cong \triangle O Q P$\):
Given:
\(&\overline{\mathrm{LM}} \cong \overline{\mathrm{OP}} \\\)
\(&\overline{\mathrm{MN}} \cong \overline{\mathrm{PQ}} \\\)
\(&\angle \mathrm{M} \cong \angle \mathrm{P}\)
Here, the answer is obvious from the question,
\(\angle \mathrm{M}\) is LM and MN's Angle.
\($\angle P$\) is PQ and PO's Angle.
Hence, it is ASA.
So, if the angle \($\triangle L N M \cong \triangle O Q P$\), then the postulate that is applied is Congruent -ASA.
To learn more about Congruent -ASA here:
brainly.com/question/10349343
