We will have the following:
First, we will have that angles NOM & POQ are equal [Angle opposite by the vertex].
Then, we will determine the relationship of the segments ON & OQ and OM & OP, that is:
![(ON)/(OQ)=(OM)/(OP)\Rightarrow(4.5)/(9)=(3)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/xf8oq52g68kvql8xenxl3qlfoi0nljie95.png)
![\Rightarrow(1)/(2)=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/uvqv9m3bpvti947h32kzrohyg5cejev3sg.png)
So, these corresponding segments are similar, and from this we have:
[tex]m&[tex]mSo, both triangles are related by AAA.