SOLUTION: i need help with this proof given:line segment vt bisects line segment rw line segment rw bisects line segment tv prove:triangle rsv is equal and congruent to triangle tsw

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: i need help with this proof given:line segment vt bisects line segment rw line segment rw bisects line segment tv prove:triangle rsv is equal and congruent to triangle tsw      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 173232: i need help with this proof
given:line segment vt bisects line segment rw
line segment rw bisects line segment tv
prove:triangle rsv is equal and congruent to triangle tsw
Answer by colliefan(55) About Me  (Show Source):
You can put this solution on YOUR website!
I take it that point S is the intersection of the 2 segments. If that is true,
RS is congruent to SW because VT bisects at S
VS is congruent to ST because RW bisects at S
angle rsv is congruent to angle WST because they are opposite angles
The triangles are congruent by SAS