1.2 Why are the four triangles similar to each othen?

To determine why four triangles are similar to each other, we need to consider the criteria for triangle similarity. Triangles are similar if they satisfy any of the following conditions: 1. **Angle-Angle (AA) Criterion**: If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. 2. **Side-Side-Side (SSS) Criterion**: If the corresponding sides of two triangles are in proportion, then the triangles are similar. 3. **Side-Angle-Side (SAS) Criterion**: If one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar. To provide a detailed explanation, we would need specific information about the triangles in question, such as their angles or the lengths of their sides. If you can provide that information, I can help you analyze the triangles and explain why they are similar.