Coordinate Geometry Act Questions

15 Questions | Total Attempts: 237

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Coordinate Geometry Act Questions

Coordinate Geometry ACT Questions


Questions and Answers
  • 1. 
    In the standard (x,y) coordinate plane below, the points (0,2), (8,2), (3,6) and (11,6) are teh vertices of a parallelogram. What ist he area, in square units, of the parallelogram?
    • A. 

      8.49

    • B. 

      16

    • C. 

      32

    • D. 

      56

    • E. 

      88

  • 2. 
    • A. 

      8.92

    • B. 

      12.81

    • C. 

      16.97

    • D. 

      17.95

    • E. 

      19.22

  • 3. 
    Given the vertices of parallelogram FGHJ in the standard (x, y) coordinate plane below, what is the area of triangle GHJ in square units?
    • A. 

      11

    • B. 

      15

    • C. 

      22

    • D. 

      44

    • E. 

      88

  • 4. 
    In the figure above, OS = ST and the coordinates of T are (k, 5). What is the value of k?
    • A. 

      -5

    • B. 

      -3

    • C. 

      -2

    • D. 

      0

    • E. 

      5

  • 5. 
    What is the slope of a line that is perpendicular to the line determined by the equation 5x + 8y = 17?
    • A. 

      -3

    • B. 

      -5/8

    • C. 

      17/8

    • D. 

      3/17

    • E. 

      8/5

  • 6. 
    In the standard (x, y) coordinate plane shown below, what is the distance on the y-axis, in units, from point A to point B?
    • A. 

      -3

    • B. 

      -5

    • C. 

      3

    • D. 

      5

    • E. 

      11

  • 7. 
    An overlay of an accessibility ramp of a building is placed on the standard (x,y) coordinate plane so that the x-axis aligns with the horizontal. The line segment representing the side view of the ramp goes through the point (-2, -1) and (16, 2). What is the slope of the accessibility ramp?
    • A. 

      -3

    • B. 

      -1/3

    • C. 

      -1/6

    • D. 

      1/6

    • E. 

      1/14

  • 8. 
    In the standard (x, y) coordinate plane, point B with coordinates (5, 6) is the midpoint of AC, and A has coordinates (6, 7). What are the coordinates of C?
    • A. 

      (11, 13)

    • B. 

      (7, 8)

    • C. 

      (4, 5)

    • D. 

      (5.5, 6.5)

    • E. 

      (-4, -8)

  • 9. 
    In the square graphed below, what is the slope of the line segment AC?
    • A. 

      4

    • B. 

      2

    • C. 

      1

    • D. 

      -1

    • E. 

      -4

  • 10. 
    Which of the following is the slope of a line parallel to the line y = 2/5x + 7 in the standard (x, y) plane?
    • A. 

      -7

    • B. 

      -5/2

    • C. 

      2/5

    • D. 

      2

    • E. 

      5/2

  • 11. 
    Quadrilateral QRST is shown below in the standard (x, y) coordinate plane.What is the length of QS in coordinate units?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 12. 
    Which of the following is closest to the perimeter of quadrilateral QRST, in coordinate units?
    • A. 

      26.0

    • B. 

      22.5

    • C. 

      19.8

    • D. 

      15.0

    • E. 

      14.0

  • 13. 
    What is the slope-intercept form of 10x - y - 8 = 0?
    • A. 

      Y = -2x

    • B. 

      Y = -10x - 8

    • C. 

      Y = -10x + 8

    • D. 

      Y = 10x - 8

    • E. 

      Y = 10x + 8

  • 14. 
    What is the distance in standard (x, y) coordinate plane between the points (5, 5) and (1, 0)?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 15. 
    What is the slope of the line determined by the equation 2x - 3y = 6?
    • A. 

      -6

    • B. 

      -3

    • C. 

      -3/2

    • D. 

      2/3

    • E. 

      2