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The congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.

The Side-Angle-Side Congruence Theorem

  • It is also referred to as the SAS Congruence Theorem.
  • SAS Congruence Theorem is used to show that two triangles, with two pairs of congruent sides and a pair of congruent included angles, are congruent.

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

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