SOLUTION: Given: Line TR bisects angle STU and angle 1 is congruent to angle 2 Prove: Line ST is congruent to Line UT I do not understand how to solve this. Can someone please help me to

Algebra ->  Geometry-proofs -> SOLUTION: Given: Line TR bisects angle STU and angle 1 is congruent to angle 2 Prove: Line ST is congruent to Line UT I do not understand how to solve this. Can someone please help me to      Log On


   

Question 1064522: Given: Line TR bisects angle STU and angle 1 is congruent to angle 2
Prove: Line ST is congruent to Line UT
I do not understand how to solve this. Can someone please help me to answer this geometric proof on bisecting lines. Thanks.
Found 2 solutions by ikleyn, amalm06:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Incomplete condition.

We have neither a picture nor its wording description.

We don't know what the angles 1 and 2 are.


How can we solve the problem without this info ?



Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Consider △STU, where T is the vertex. Let TR be a perpendicular bisector from T to R. Then △STR is congruent to △UTR by ASA (angle-side-angle), and so line ST is congruent to line UT.