Question

1. complete the statement: △ select ≈ △ aln by select show your work

Explanation:

Step1: Identify vertical angles

$\angle FNI$ and $\angle ALN$ are vertical angles, so $\angle FNI\cong\angle ALN$.

Step2: Use SAS (Side - Angle - Side) congruence criterion

We have $FN\cong AL$ (marked), $\angle FNI\cong\angle ALN$ (vertical angles), and $NI\cong LN$ (marked). By the SAS congruence criterion, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Answer:

$\triangle FNI\cong\triangle ALN$ by SAS.