Final answer:
The given information does not provide enough details to determine the similarity between the triangles.
Step-by-step explanation:
The given information does not provide enough details about the triangles to determine whether they are similar by AA~, SSS-, or SAS~. However, if triangle BAO and triangle B₁A₁O are similar, we can write a valid similarity statement using the corresponding angles: ΔBAO ~ ΔB₁A₁O. Please provide more information or specific angle and side measurements to accurately determine the similarity between the triangles.