A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the fourth step in the proof?
Given: AB = BC and ZABX ZCBX
Prove: AX = XC
A
Х
с
Statements
1. AB BC and ZABX X CBX
2. BX BX
3. AABX ACBX
4. AXXC
Reasons
Given
Reflexive Property of Equality
SAS Triangle Congruence Theorem
A. Definition of midpoint
B. Substitution property of equality
C. Definition of perpendicular bisector
D. Corresponding parts of congruent triangles are congruent
(CPCTC)