Final answer:
Without additional information on the angles or sides of triangles IGF and MNL, it is impossible to determine if they are similar. The tests for triangle similarity such as AA, SAS, and SSS cannot be applied with the information given.
Step-by-step explanation:
To determine if two triangles are similar, we can use several tests for similarity, such as Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS). Regarding the triangles in question, ∆IGF and ∆MNL, the information given is insufficient to determine similarity based on the tests mentioned above with certainty.
However, the given statement 'Triangles BAO and B₁ A₁ O are similar triangles. Thus, similar triangles.' suggests that there could be a comparison of angles (AA) or sides (SAS, SSS) that indicates similarity, but the exact measurements or angles have not been provided to apply these tests.
Without additional information, such as the measures of angles or sides to utilize the AA, SAS, or SSS criteria, we cannot draw a conclusion. Therefore, the correct answer would be (a) impossible to determine.