Question 522362
<pre>
{{{drawing(200,140,-5,5,-1, 6,

line(-4,2,0,0),line(-4,2,0,5),line(0,0,4,3),line(4,3,0,5), line(0,5,0,0),
red(arc(4,3,2,-2,153.4349488,216.8698976),locate(-.2,5.7,T),locate(-.2,-.2,R),
arc(-4,2,2,-2,333.4349488,396.8698976)),locate(-4.4,2.2,Q), locate(4.2,3.3,S),
red(arc(0,5,2,-2,210.9637565,270),arc(0,5,2.6,-2.6,210.9637565,270)),
red(arc(0,0,2,-2,31.96375653,90),arc(0,0,2.6,-2.6,31.96375653,90))


)}}}
  Given: &#8736;Q &#8773; &#8736;S
       &#8736;TRS &#8773; &#8736;RTQ
Prove: &#8710;RTQ &#8773; &#8710;TRS

     1.   &#8736;Q &#8773; &#8736;S      |     Given 
     2. &#8736;TRS &#8773; &#8736;RTQ    |     Given
     3.   TR &#8773; TR       |     Reflexive property of congruence
     4. &#8710;RTQ &#8773; &#8710;TRS     |     Angle-Angle-Side*
         

*if two angles and a nonincluded side of one triangle are congruent to two
angles and the corresponding nonincluded side of another triangle, the two
triangles are congruent. 

Edwin</pre>