SOLUTION: How do I write a two column proof of two triangles, trying to prove that they are congruent. given that Angle Q is congruent to angle S and Angle TRS is congruent to RTQ. I could

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Question 522362: How do I write a two column proof of two triangles, trying to prove that they are congruent.
given that Angle Q is congruent to angle S and Angle TRS is congruent to RTQ. I could really use some help.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

  Given: ∠Q ≅ ∠S
       ∠TRS ≅ ∠RTQ
Prove: ∆RTQ ≅ ∆TRS

     1.   ∠Q ≅ ∠S      |     Given 
     2. ∠TRS ≅ ∠RTQ    |     Given
     3.   TR ≅ TR       |     Reflexive property of congruence
     4. ∆RTQ ≅ ∆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


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