:
To check if the triangles are similar, let us take ratios of corresponding sides on both triangles, if they are the same, they are similar, else they are not.
We have:
[tex]\frac{PM}{XP}=\frac{9}{12}=\frac{3}{4}[/tex]
We also have for triangle ALW
[tex]\frac{LW}{AW}=\frac{12}{16}=\frac{3}{4}[/tex]
We see that the sides share the same ratios, so the two triangles are similar under the similarity relation
[tex]\begin{gathered} \text{Side angle side similarity (SAS)}\ \\ \text{Sise side side similarity (SSS)} \end{gathered}[/tex]
