Write an indirect proof in two-column form:

Question

Given: Line RB̅̅̅̅ ≅ line RN, line BA ≇ line NA

Prove: Ray RA does not bisect angle BRN

Answer 1

Suppose it does bisect the angle BRN

Then triangles RBA and RNA are congruent by SAS per the given and reflective property of shared side RA.

Then BA=NA by CPCTC which contradicts the given