Question 548543
There must be more to the problem than what you posted, because I made S the midpoint of QT and QR parallel to TU in the two drawings below
{{{drawing(300,150,-1,11,-1,5,
red(triangle(0,0,4,0,4,3)),
blue(triangle(4,0,8,0,10,1.5)),
locate(-0.2,0,Q), locate(3.9,0,S),locate(8,0,T),
locate(4,3.5,R), locate(10,2,U)
)}}} and the triangles are not congruent {{{drawing(300,200,-1,11,-3,5,
red(triangle(0,0,4,0,4,3)),
blue(triangle(4,0,8,0,6,-1.5)),
locate(-0.2,0,Q), locate(3.9,0,S),locate(8,0.5,T),
locate(4,3.5,R), locate(6,-1.5,U)
)}}}
Maybe you needed to say that QR is congruent with TU, or that R, S and U are colinear.