Question

1. these triangles are similar. which similarity statement is correct?

options:
△abc ~ △def
△abc ~ △fde
△abc ~ △efd
△abc ~ △fed

Explanation:

Step1: Match corresponding angles

In similar - triangles, corresponding angles are equal. In \(\triangle ABC\) and \(\triangle FED\), \(\angle A=\angle F\) (single - arc angles), \(\angle B=\angle E\) (no - arc angles), \(\angle C=\angle D\) (double - arc angles).

Step2: Write similarity statement

The correct similarity statement is based on the order of corresponding angles. So, \(\triangle ABC\sim\triangle FED\).

Answer:

\(\triangle ABC\sim\triangle FED\)