Iwill award 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. ∆are ≅ ∆ by rule

ARE ≅ ΔARC

By rule - SSS Congruence Postulate

Step-by-step explanation:

We are given that in the two triangles ARE and ARC.

Sides AE ≅ AC and RE ≅ RC

Moreover, they have AR as their common side.

So, we get that, in ΔARE and ΔARC, all the three corresponding sides are equal.

Thus, by the SSS Congruence Postulate, ΔARE ≅ ΔARC.