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

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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) About Me  (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