Question

What other information do you need to prove INF=CAT by the ASA postulate

Answer 1

D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.

For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.

Answer 2

(D) NI≅AC

Explanation:

From the given information, it is given that in ΔINF and ΔCAT, CA=FN and ∠CAT=∠FIN.

Therefore, from ΔINF and ΔCAT

∠ACT=∠NIF (given)

CA=NI (given)

∠CAT=∠INF

thus, by ASa rule of congruency,

ΔINF ≅ ΔCAT

Hence, CA=NI is the additional information which can be needed to prove the triangles are congruent.

Hence, option D is correct.