Question

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. GA ∩ TN = I ∆GIT ≅ ∆_____ by _____

Answer 1

△GIT≅△AIN

By Rule: SAS

Answer 2

The correct answer is;

ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Explanation:

The given information are;

The point of intersection of GA ∩ TN = I

Segment TI is congruent to segment NI (Given)

Segment GI is congruent to segment IA (Given)

Angle ∠GIT is congruent to angle ∠AIN (Vertically opposite angles)

Therefore, we have;

Triangle, ΔGIT is congruent to triangle ΔNIA (Side Angle Side (SAS) rule of congruency)

Two triangles are said to be congruent by the Side Angle Side (SAS) rule of congruency, when two of the sides and the included angle (the angle in between the two sides) of one of the triangle are equal to two sides and the included angle of the other triangle.

Therefore, the correct answer is ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency