Answer:
The postulate that applied if [tex]$\triangle L N M \cong \triangle O Q P$[/tex] 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 [tex]$\triangle L N M \cong \triangle O Q P$[/tex]:
Given:
[tex]&\overline{\mathrm{LM}} \cong \overline{\mathrm{OP}} \\[/tex]
[tex]&\overline{\mathrm{MN}} \cong \overline{\mathrm{PQ}} \\[/tex]
[tex]&\angle \mathrm{M} \cong \angle \mathrm{P}[/tex]
Here, the answer is obvious from the question,
[tex]\angle \mathrm{M}[/tex] is LM and MN's Angle.
[tex]$\angle P$[/tex] is PQ and PO's Angle.
Hence, it is ASA.
So, if the angle [tex]$\triangle L N M \cong \triangle O Q P$[/tex], then the postulate that is applied is Congruent -ASA.
To learn more about Congruent -ASA here:
brainly.com/question/10349343
