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:
[tex]\frac{ON}{OQ}=\frac{OM}{OP}\Rightarrow\frac{4.5}{9}=\frac{3}{6}[/tex][tex]\Rightarrow\frac{1}{2}=\frac{1}{2}[/tex]
So, these corresponding segments are similar, and from this we have:
[tex]m&[tex]mSo, both triangles are related by AAA.
