See Problem 3.

Algebra Find the range of possible values for each variable.

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12. 
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14. 
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See Problem 4.

15. Developing Proof Complete the following proof.

    Given: C is the midpoint of B D ¯ , m ∠ E A C = m ∠ A E C , m ∠ B C A > m ∠ D C E table with 2 rows and 2 columns , row1 column 1 , b d bar , comma m angle e eh c , column 2 equals m angle eh e c comma , row2 column 1 , m angle b c eh , column 2 greater than m angle d c e , end table

    Prove: A B > E D eh b greater than e d

    

    Statements	Reasons
    1) m ∠ E A C = m ∠ A E C m angle e eh c equals m angle eh e c	1) Given
    2) A C = E C eh c equals e c	2) a. ? ¯ modified question mark with under bar below
    3) C is the midpoint of B D ¯ . b d bar , .	3) b. ? ¯ modified question mark with under bar below
    4) B C ¯ ≅ C D ¯ b c bar , approximately equal to , c d bar	4) c. ? ¯ modified question mark with under bar below
    5) d. ? ¯ modified question mark with under bar below	5) ≅ approximately equal to  segments have = equals  length.
    6) m ∠ B C A > m ∠ D C E m angle b c eh greater than m angle d c e	6) e. ? ¯ modified question mark with under bar below
    7) A B > E D eh b greater than e d	7) f. ? ¯ modified question mark with under bar below

B Apply

Copy and complete with > greater than  or < . less than .  Explain your reasoning.

16. P T Q R p t begin box ,
17. m ∠ Q T R m ∠ R T S m angle q t r begin box ,
18. P T R S p t begin box ,
19. 1. Error Analysis Your classmate draws the figure below. Explain why the figure cannot have the labeled dimensions.
    2. Open-Ended Describe a way you could change the dimensions to make the figure possible.

    

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