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 2CBX
Prove: AX XC
Statements
1. AB BC and ZABXZCBX
2. BX BX
3. AABXACBX
4. AXEXC
B
X
Reasons
Given
Reflexive Property of Equality
SAS Triangle Congruence Theorem
A. Definition of perpendicular bisector
B. Substitution property of equality
C. Corresponding parts of congruent triangles are congruent
(CPCTC)
D. Definition of midpoint
K

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 2CBX Prov class=