Question

cw: triangle congruence theorems
if not congruent, write none in both slots.
these triangles can be proven congruent by □□□□. δpon ≅ δ□□□□

Explanation:

Step1: Identify the congruent parts

In \(\triangle PON\) and \(\triangle PQN\), we have \(\angle O=\angle Q\) (given as marked angles), \(\angle ONP = \angle QNP\) (given as marked angles), and \(NP = NP\) (common side).

Step2: Apply the congruence theorem

By the Angle - Angle - Side (AAS) congruence theorem, if two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.

Answer:

These triangles can be proven congruent by \(AAS\). \(\triangle PON\cong\triangle PQN\)