Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

cw: triangle congruence theorems if not congruent, write none in both s…

Question

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

Explanation:

Step1: Identify the congruent parts

We have \(NO = NQ\) (marked with cross), \(\angle ONP=\angle QNP\) (marked with arc), and \(NP = NP\) (common side).

Step2: Apply the congruence theorem

By the Side - Angle - Side (SAS) congruence theorem, \(\triangle NOP\cong\triangle NQP\)

Answer:

These triangles can be proven congruent by \(SAS\), \(\triangle NOP\cong\triangle NQP\)