The congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
Thus, in the image shown below, ΔTIG and ΔAIN have:
two pairs of congruent sides - TI ≅ NI and GI ≅ AI.
one pair of congruent included angles - ∠TIG ≅ ∠AIN
Therefore, the congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
Learn more about the SAS Congruence Theorem on:
https://brainly.com/question/13408604