Question

determine which postulate or theorem can be used to prove that (\triangle lmocong\triangle nmo).
a. asa
b. sas
c. aas
d. sss

Explanation:

Step1: Identify the given information

We have two right - angled triangles \(\triangle LMO\) and \(\triangle NMO\). \(\angle L=\angle N\) (given angles), \(\angle OML = \angle OMN=90^{\circ}\) (right angles), and \(OM = OM\) (common side).

Step2: Recall the AAS (Angle - Angle - Side) theorem

The AAS theorem 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.
In \(\triangle LMO\) and \(\triangle NMO\), we have two angles (\(\angle L=\angle N\) and \(\angle OML=\angle OMN\)) and a non - included side (\(OM\)) that are congruent.

Answer:

C. AAS