See Problem 2.

14. Developing Proof Complete the flow proof.

    Given: ∠ T ≅ ∠ R , P Q ¯ ≅ P V ¯ angle t approximately equal to . angle r comma . p q bar , approximately equal to . p v bar

    Prove: ∠ P Q T ≅ ∠ P V R angle p q t approximately equal to . angle p v r

    

    
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15. Proof Given: R S ¯ ≅ U T ¯ , R T ¯ ≅ U S ¯ r s bar , approximately equal to . u t bar , comma . r t bar , approximately equal to . u s bar

    Prove: Δ R S T ≅ Δ U T S cap delta r s t approximately equal to cap delta u t s

    

16. Proof Given: Q D ¯ ≅ U A ¯ , ∠ Q D A ≅ ∠ U A D q d bar , approximately equal to . u eh bar , comma . angle q d eh approximately equal to . angle u eh d

    Prove: Δ Q D A ≅ Δ U A D cap delta q d eh approximately equal to cap delta u eh d

    

17. Proof Given: ∠ 1 ≅ ∠ 2 , ∠ 3 ≅ ∠ 4 angle 1 , approximately equal to , angle 2 , comma , angle 3 , approximately equal to , angle 4

    Prove: Δ Q E T ≅ Δ Q E U cap delta q e t approximately equal to cap delta q e u

    

See Problems 3 and 4.

18. Proof Given: A D ¯ ≅ E D ¯ , D eh d bar , approximately equal to . e d bar , comma d  is the midpoint of B F ¯ b f bar

    Prove: Δ A D C ≅ Δ E D G cap delta eh d c approximately equal to cap delta e d g

    

B Apply

19. Think About a Plan In the diagram below, ∠ V ≅ ∠ S , V U ¯ ≅ S T ¯ , angle v approximately equal to . angle s comma . v u bar , approximately equal to . s t bar , comma  and P S ¯ ≅ Q V ¯ . p s bar , approximately equal to . q v bar , .  Which two triangles are congruent by SAS? Explain.

    
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    • How can you use a new diagram to help you identify the triangles?
    • What do you need to prove triangles congruent by SAS?

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