SOLUTION: Given: RP is congruent to QS RS is congruent to QP Prove that: triangle RPQ is congruent to triangle QSR

Algebra ->  Geometry-proofs -> SOLUTION: Given: RP is congruent to QS RS is congruent to QP Prove that: triangle RPQ is congruent to triangle QSR      Log On


   

Question 174017: Given: RP is congruent to QS
RS is congruent to QP
Prove that: triangle RPQ is congruent to triangle QSR
Answer by Mathtut(3670) About Me  (Show Source):
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          statement                           reason
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1. RP congruent to QS                      1.given
   RS congruent to QP

2. QR congruent to QR                      2. reflexive property

3. tri RPQ congruent to tri QSR            3. SSS theorem

SSS theorem states that if three sides of one triangle are congrent to 3 sides of another triange then the triangles are congruent to one another