What are the reasons for this proof:

Question

complete the two column proof by providing the best possible reasons 

Given: Segment CX is congruent to segment BX, triangle ABC is an equilateral triangle 

Prove: triangle AXC is congruent to triangle AXB

Answer 1

I'm assuming point x is inside triangle ABC

CX≅BX   Given

AX≅AX   Reflexive Property

AC≅AB   triangle ABC is equilateral which means all sides are congruent

ΔAXC≅ΔAXB  SSS Theorem (side,side,side)