Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 168589: I want to pass my test on Monday and I need help please tutors and thank you.
Given: S is the midpoint of QT, QR is parallel to TU
Prove: triangle QSR is congurent to TSU: I want to pass my test on Monday and I need help please tutors and thank you.
Given: S is the midpoint of QT, QR is parallel to TU
Prove: triangle QSR is congurent to TSU
Answer by Edwin McCravy(2188) About Me  (Show Source):
You can put this solution on YOUR website!


drawing(400,400, -4,4,-4,4,

triangle(0,0,1,2,-3,2),
triangle(0,0,-1,-2,3,-2),
locate(-3.2,2,U),
locate(1,2,T),
locate(-1,-2,Q),
locate(3,-2,R) 
locate(0,.2,S) 
)

Angle Q = angle T because they are alternate interior angles
          formed by tranversal QT cutting two given parallel
          line segments QR and TU

SQ = ST  because S is given to be the midpoint of QT

Angle UST = Angle RSQ because they are vertical angles.

Triangle QSR is congruent to triangle TSU by Angle-side-angle.

Edwin