Question 168589
<pre><font size = 4 color = "indigo"><b>

{{{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</pre>