Standardized Test Prep

SAT/ACT

60. What is the diameter of a sphere whose surface area is 100 π  m 2 ? 100 pi , m squared , question mark
    1. 5 m
    2. 10 m
    3. 5 π  m 5 pi m
    4. 25 π  m 25 pi m
61. Which of the following statements contradict each other?
    1. Opposite sides of ▱ A B C D white parallelogram eh b c d  are parallel.
    2. Diagonals of ▱ A B C D white parallelogram eh b c d  are perpendicular.
    3. ▱ A B C D white parallelogram eh b c d  is not a rhombus.
    6. I and II
    7. II and III
    8. I and III
    9. none
62. What is the reflection image of (3, 7) across the line y = 4 ? y equals 4 question mark
    1. (3, 3)
    2. ( − 7 , 3 ) open minus , 7 comma 3 close
    3. (3, 1)
    4. ( 3 , − 7 ) open 3 comma negative 7 close
63. The radius of a sphere is doubled. By what factor does the surface area of the sphere change?
    6. 1 4 1 fourth
    7. 1 2 1 half
    8. 2
    9. 4

Short Response

64. Find the values of x and y. Show your work.

    

Mixed Review

See Lesson 11-5.

Find the volume of each figure to the nearest cubic unit.

See Lessons 6-4 and 8-3.

68. A leg of a right triangle has a length of 4 cm and the hypotenuse has a length of 7 cm. Find the measure of each acute angle of the triangle to the nearest degree.
69. The length of each side of a rhombus is 16. The longer diagonal has length 26. Find the measures of the angles of the rhombus to the nearest degree.

Get Ready! To prepare for Lesson 11-7, do Exercises 70 and 71.

See Lesson 7-2.

Are the figures similar? If so, give the scale factor.

70. two squares, one with 3-in. sides and the other with 1-in. sides
71. two right isosceles triangles, one with a 3-cm hypotenuse and the other with a 1-cm leg

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