Question

For Exercises 1-4, if the two triangles are similar, state why they are similar. If not, state that they are not similar.

Answer 1

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

Step-by-step explanation:

To determine if two triangles are similar, we need to check if their corresponding angles are equal and their corresponding sides are proportional. In this case, we are given that triangles BAO and B₁A₁O are similar triangles. To show this, we can use the angles and sides:

1. Angles: Angle BAO is equal to angle B₁A₁O (both angles are at vertex O).
2. Sides: Side BA is proportional to side B₁A₁ (both sides connect vertices B and A₁).

Therefore, the triangles BAO and B₁A₁O are similar because their corresponding angles are equal and their corresponding sides are proportional.