10. One bag of garden soil covers approximately 16   ft 2 . 16 , ft squared , .  If it takes 16 π  ft  16 pi , ft  of fencing to enclose a circular garden, how many bags of soil do you need to cover the garden?
    6. 4 bags
    7. 7 bags
    8. 13 bags
    9. 16 bags

GRIDDED RESPONSE

11. What is the value of x in the figure below?

    

12. The length of a rectangle is seven more than three times its width. If the perimeter is 38 cm, what is the area, in square centimeters, of the rectangle?

13. What is the value of x in the figure below?

    

14. A B C D ≅ W X Y Z . eh b c d approximately equal to w x y z .  What is WX?

    

15. Amy is designing a ramp up to a 16-in.-high skateboarding platform, as shown on the graph below. If she wants the slope of the ramp to be 1 3 , 1 third , comma  what value should she choose for the x-coordinate at the top of the ramp?

    

Short Response

16. Describe how the following everyday meanings of acute and obtuse help you to remember their mathematical meanings.

    acute adj. Having a sharp point

    obtuse adj. Not sharp or pointed; blunt

17. Write a proof for the following.

    Given: A E ¯ ≅ D E ¯ , E B ¯ ≅ E C ¯ eh e bar , approximately equal to . d e bar , comma . e b bar , approximately equal to . e c bar

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

    

Extended Response

18. Read this excerpt from an online news article.

    
    Image Long Description

    1. Make a conjecture about the year in which Halley's Comet will appear after 2061. Explain your reasoning.
    2. How confident are you about your conjecture? Explain.
19. The coordinates of the vertices of rectangle LMNK are L ( − 2 , 5 ) , M ( 2 , 5 ) , N ( 2 , 3 ) , l open negative 2 comma 5 close comma m open 2 comma 5 close comma n open 2 comma 3 close comma  and K ( − 2 , 3 ) . k open negative 2 comma 3 close .  The coordinates of the vertices of rectangle PQRS are P ( 3 , 0 ) , Q ( 3 , − 3 ) , R ( 1 , − 3 ) , p open 3 comma 0 close comma q open 3 comma negative 3 close comma r open 1 comma negative 3 close comma  and S ( 1 , 0 ) . s open 1 comma 0 close .  Are these two rectangles congruent? Explain why or why not. If not, how could you change the vertices of one of the rectangles to make them congruent?

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