Final answer:
Without adequate information on angles or side lengths, we cannot determine the similarity of triangles BAO and B₁A₁O using the methods of AA, SAS, or SSS. The details provided are unclear and insufficient for completion of a similarity statement.
Step-by-step explanation:
To determine if triangles are similar, we typically look for matching angles and proportional corresponding sides. Similar triangles can be identified by three key methods: Angle-Angle (AA), Side-Side-Side (SSS), and Side-Angle-Side (SAS). In the information provided, you mention that triangles BAO and B₁A₁O are similar. However, the information given to complete the similarity statement is not sufficient. It seems there might be some missing data or a typo, as 'NO f A1 B1 AB A1 B1 di-f d; -f Inverting this gives Dividing by dj gives 1 =' does not provide clear measurements or angles to confirm similarity.
For a meaningful comparison based on your instructions, it would be essential to know either the measures of corresponding angles or the lengths of corresponding sides. Once this information is provided, we could surely establish the similarity and complete a similarity statement as required. Without this critical data, we cannot confirm if the triangles are similar by AA, SAS, or SSS, or state they are not similar.