Final answer:
The triangles BAO and B₁A₁O are similar using the AA method.
Step-by-step explanation:
The triangles BAO and B₁A₁O are similar triangles. To determine the method of similarity, we can use the given information to check if the triangles satisfy any of the three similarity conditions: AA, SSS, or SAS.
In the given information, we can see that the triangles have the same angles B and O. Therefore, we have angle-angle similarity (AA).
So, the triangles BAO and B₁A₁O are similar using the AA method.