Question

j is the midpoint of \\( \overline { f h } \\) and \\( \overline { g i } \\). complete the proof that \\( \triangle g h j \cong \triangle i f j \\).

Explanation:

Step1: Identify vertical angles

$\angle FJI$ and $\angle HJG$ are vertical angles. By the vertical angles theorem, $\angle FJI\cong\angle HJG$.

Answer:

$\angle FJI\cong\angle HJG$ (by vertical angles theorem)