Question

In the similarity statement AABC-ADEF can you tell which parts of the triangles correspond to one another?

Answer 1

In the similarity statement ∆ABC ≈ ∆DEF, each letter corresponds to a part of the triangle with the same position in the other triangle. Thus, vertex A corresponds to D, B to E, C to F, side AB to DE, BC to EF, CA to DF, and the angles at each vertex are also corresponding.

Step-by-step explanation:

When a similarity statement such as ∆ABC ≈ ∆DEF is given, it indicates that triangle ABC is similar to triangle DEF. This also means the corresponding parts of the similar triangles match. Therefore, vertex A corresponds to vertex D, vertex B corresponds to vertex E, and vertex C corresponds to vertex F. Similarly, side AB corresponds to side DE, side BC corresponds to side EF, and side CA corresponds to side DF. Additionally, angle A corresponds to angle D, angle B corresponds to angle E, and angle C corresponds to angle F.