16. Algebra Find x, JK, and JM.

    

17. Algebra Find y, ST, and TU.

    

B Apply

Algebra Use the figure below for Exercises 18–22.

18. Find the value of x.
19. Find TW.
20. Find WZ.
21. What kind of triangle is Δ T W Z ? cap delta t w z question mark  Explain.
22. If R is on the perpendicular bisector of T Z ¯ , t z bar , comma  then R is ? ¯ modified question mark with under bar below  from T and Z, or ? ¯ = ? ¯ . modified question mark with under bar below , equals , modified question mark with under bar below , .

23. Think About a Plan In the diagram below, the soccer goalie will prepare for a shot from the player at point P by moving out to a point on X Y ¯ . x y bar , .  To have the best chance of stopping the ball, should the goalie stand at the point on X Y ¯ x y bar  that lies on the perpendicular bisector of G L ¯ g l bar  or at the point on X Y ¯ x y bar  that lies on the bisector of ∠ G P L ? angle g p l question mark  Explain your reasoning.

    

    • How can you draw a diagram to help?
    • Would the goalie want to be the same distance from G and L or from P G ¯ p g bar  and P L ¯ ? p l bar , question mark
24. 1. Constructions Draw a large triangle, Δ C D E . cap delta c d e .  Construct the angle bisectors of each angle.
    2. Make a Conjecture What appears to be true about the angle bisectors?
    3. Test your conjecture with another triangle.
25. 1. Constructions Draw a large acute scalene triangle, Δ P Q R . cap delta p q r .  Construct the perpendicular bisectors of each side.
    2. Make a Conjecture What appears to be true about the perpendicular bisectors?
    3. Test your conjecture with another triangle.
26. Write Theorems 5-2 and 5-3 as a single biconditional statement.
27. Write Theorems 5-4 and 5-5 as a single biconditional statement.

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