Given: RS is congruent to RT; RU bisects angle SRT

Prove: Angle S is congruent to Angle T

Given
CPCTC
angle SRU is congruent to angle TRU
SAS (Side-Angle-Side)
RS is congruent to RT; RU bisects angle SRT
Reflexive
RU is congruent to RU
Triangle SRU is congruent to Triangle TRU
Angle S is congruent to Angle T
Definition