SOLUTION: Given: RT bisects URS and TR bisects UTS Prove: URT is congruent to SRT the triangle is RST and TUR

Question 253537: Given: RT bisects URS and TR bisects UTS
Prove: URT is congruent to SRT

the triangle is RST and TUR
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
First you want to draw the picture base on the given information.
STATEMENT 1: RT bisects URS and TR bisects UTS
REASON 1: given
STATEMENT 2: angle SRT congruent angle URT
REASON 2: definition of angle bisector
STATEMENT 3: angle STR congruent angle UTR
REASON 3: definition of angle bisector
STATEMENT 4: RT congruent RT
REASON 4: reflexive property of equality
STATEMENT 5: triangle UTR congruent triangle STR
REASON 5: ASA postulate
RELATED QUESTIONS
Give angle S is congruent to angle U; line TR bisects angle STU. Prove angle SRT is... (answered by stanbon)

Given: RT bisects (answered by richard1234)
Given: BC is congruent to BA and BD bisects angle CBA Prove: DB bisects angle CDA (answered by Theo)
given: line segment sv bisects (answered by greenestamps)
line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to... (answered by Alan3354,Edwin McCravy)
Given: Triangle ABC, AD bisects (answered by asuar010)
QS bisects RST. R is congruent to P. (answered by jojo14344)
Given: angle R is congruent to angle U and line segment ST is congruent to line segment... (answered by ikleyn,josgarithmetic)
If given ABCD is a parallelogram, E bisects AD at E, and F bisects CB at F, prove EG is... (answered by Edwin McCravy)