Question

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
GA∩TN= I
∆GIT ≅ ∆________
By rule _________

Answer 1

Answer:

ΔGIT ≅ ΔAIN

By SAS  rule of congruency

Step-by-step explanation:

From the given information, GA intersect TN at I, and also IT=IN, IA=IG.

Also, from figure, it can be seen that IT=IN and IG=IA.

Then, From ΔGIT and ΔAIN, we have

IT=IN (given)

∠TIG=∠NIA (vertically opposite angles)

IG=IA (given)

Therefore, by SAS rule,

ΔGIT ≅ ΔAIN.

hence proved.