52. The triangle circumscribes the circle. What is the perimeter of the triangle?

    

    6. 24 cm
    7. 25 cm
    8. 25.5 cm
    9. 37.5 cm

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

    

    1. 1
    2. 5 4 5 fourths
    3. 2
    4. 7 2 7 halves

54. Effrisini is trying to come up with a formula for the maximum number of regions that a circle can be divided into by n chords. The diagram below shows that 3 chords could yield 7 regions.

    

    The chart shows all her results so far.

    What expression matches her results for the number of regions?

    Number of Chords n	Number of Regions
    0	1
    1	2
    2	4
    3	7

    6. n + 1 n plus 1
    7. 2n
    8. 2 n 2 to the n
    9. n ( n + 1 ) 2 + 1 fraction n . open , n plus 1 , close , over 2 end fraction . plus 1

55. The diagram below shows a standard construction with straightedge and compass. What has been constructed?

    

    1. a median
    2. an altitude
    3. a perpendicular bisector
    4. an angle bisector

56. Sylvester is building a scale model of the Pentagon in Arlington, Virginia. It will be similar to the actual building, whose sides are 1000 times longer than the model's sides. How many times the area of the model is the area of the Pentagon?

    

    6. 1 1000 1 over 1000
    7. 1000
    8. 1,000,000
    9. 1,000,000,000

57. In Δ A B C cap delta eh b c  below, point O has been constructed.

    

    What is Point O?

    1. centroid
    2. center of the inscribed circle
    3. center of the circumscribed circle
    4. none of the above

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