Act Prep Geometry Quiz #1

10 Questions | Total Attempts: 320

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Geometry Quizzes & Trivia

Questions and Answers
  • 1. 
    What is the next term in the geometric sequence 16, - 4, 1, - 1/4, .....?
    • A. 

      - 1/8

    • B. 

      0

    • C. 

      1/16

    • D. 

      1/2

  • 2. 
    A 24-inch diameter pizza is cut into eight slices. What is the area of one slice?
    • A. 

      18π

    • B. 

    • C. 

    • D. 

      12π

    • E. 

      π/8

  • 3. 
    A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular-shaped garden. How many feet in length are each of the sides of the new square-shaped garden?
    • A. 

      7

    • B. 

      9

    • C. 

      12

    • D. 

      5

    • E. 

      16

  • 4. 
    In the figure, ∆ABC is a right triangle. The length of AB is 6 units and the length of CB is 3 units. What is the length, in units, of AC ?
    • A. 

      5

    • B. 

      3√3

    • C. 

      3 + √5

    • D. 

      3√5

    • E. 

      3√6

  • 5. 
    In the figure below, the lengths of DE , EF , and FG are given, in units. What is the area, in square units, of ∆DEG ?
    • A. 

      29

    • B. 

      60

    • C. 

      47.5

    • D. 

      120

    • E. 

      35

  • 6. 
    In the figure below, the circle centered at B is internally tangent to the circle centered at A. The smaller circle passes through the center of the larger circle and the length of AB is 5 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?
    • A. 

      10π

    • B. 

      25π

    • C. 

      100π

    • D. 

      75π

    • E. 

      300π

  • 7. 
    The diagram below shows a pasture which is fenced in. All but 1 section of fence run straight north-south or east-west. Consecutive fence posts are 10 feet apart except for the 1 diagonal section. Which of the following statements best describes P, the perimeter of the pasture, in feet?
    • A. 

      P > 210

    • B. 

      P = 210

    • C. 

      P < 210

    • D. 

      P > 230

    • E. 

      P = 240

  • 8. 
    In the sketch below, the area of each circle is 4π. What is the perimeter of WXZY?
    • A. 

      8

    • B. 

      32

    • C. 

      16π

    • D. 

      64

    • E. 

  • 9. 
    In the coordinate plane, a square has vertices (4, 3), (-3, 3), (-3, - 4), and
    • A. 

      (3, 4)

    • B. 

      (0, 7)

    • C. 

      (4, 0)

    • D. 

      A relationship cannot be determined.

    • E. 

      (4, - 4)

  • 10. 
    M is the midpoint of line segment RS. If RM = 3x + 1 and RS = 38, what is the value of x?
    • A. 

      12

    • B. 

      18

    • C. 

      6

    • D. 

      19

    • E. 

      21

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