11. Which statement contradicts the statement Δ A B C ≅ Δ J M K cap delta eh b c approximately equal to cap delta j m k  by SAS?

    1. ∠ A angle eh  and ∠ J angle j  are vertical angles.
    2. B C ¯ b c bar  is the hypotenuse of Δ A B C . cap delta eh b c .
    3. Δ A B C cap delta eh b c  is isosceles and Δ J M K cap delta j m k  is scalene.
    4. A B ¯ eh b bar  is not congruent to M K ¯ . m k bar , .

GRIDDED RESPONSE

12. What is the next term in the pattern below?

    5, 6, 8, 11, 15, …

13. Δ A B C cap delta eh b c  is a right triangle with area 14  in . 2 . B M ¯ 14 , in , . squared , . . b m bar  and C N ¯ c n bar  are medians and B N = 2 b n equals 2  in. What is the area of Δ C N M cap delta c n m  in square inches?

    

14. The measure of one angle of an isosceles triangle is 70. What is the measure of the largest angle?

15. D E ¯ d e bar  is a midsegment of Δ A B C . cap delta eh b c .  In millimeters, what is DE?

    

16. What is the area in square units of a rectangle with vertices ( − 2 , 5 ) , ( 3 , 5 ) , ( 3 , − 1 ) , open negative 2 comma 5 close comma open 3 comma 5 close comma open 3 comma negative 1 close comma  and ( − 2 , − 1 ) ? open negative 2 comma negative 1 close question mark

17. In the figure below, the area of Δ A D B cap delta eh d b  is 4.5 cm 2 . 4.5 . cm squared , .  In centimeters, what is DF?

    

Short Response

18. If two lines are parallel, then they do not intersect. If two lines do not intersect, then they do not have any points in common.

    1. Suppose l ║ m . l box drawings double vertical m .  What conclusion can you make about lines l and m?
    2. Explain how you arrived at your conclusion.

19. Copy the triangle below.

    

    1. Construct a congruent triangle.
    2. Describe your method.

Extended Response

20. Write an indirect proof.

    Given: Δ A B C cap delta eh b c  is obtuse.

    Prove: Δ A B C cap delta eh b c  is not a right triangle.

21. The towns of Westfield, Bayville, and Oxboro need a cell phone tower. The strength of the signal from the tower should be the same for each of the three towns. The map below shows the location of each town, with each grid square representing 1 square mile.

    

    1. At what coordinates should the new cell phone tower be located? Explain.
    2. What is the distance from the new tower to Westfield? To Bayville? To Oxboro?
    3. Can any of the other towns shown on the map benefit from the new cell phone tower? Explain.

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