Distance And Midpoint Test! Math Trivia Questions Quiz

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Courtney Frank
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Quizzes Created: 45 | Total Attempts: 15,467
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Distance And Midpoint Test! Math Trivia Questions Quiz - Quiz

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Questions and Answers
  • 1. 

    Calculate the midpoint between the points (4, -2) and (-8, 6).

    • A.

      (6, 4)

    • B.

      (-6, -4)

    • C.

      (2, 2)

    • D.

      (-2, 2)

    Correct Answer
    D. (-2, 2)
    Explanation
    The midpoint between two points is calculated by finding the average of their x-coordinates and the average of their y-coordinates. In this case, the x-coordinate of the midpoint is (4 + (-8))/2 = -2, and the y-coordinate is (-2 + 6)/2 = 2. Therefore, the midpoint is (-2, 2).

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  • 2. 

    Find the distance between the points (3, -2) and (6, 4).

    Correct Answer
    D.
    Explanation
    To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is: √((x2 - x1)^2 + (y2 - y1)^2). In this case, the points are (3, -2) and (6, 4). Plugging the values into the formula, we get: √((6 - 3)^2 + (4 - (-2))^2) = √(3^2 + 6^2) = √(9 + 36) = √45. Therefore, the distance between the two points is √45.

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  • 3. 

    If point S (4, 2) is the midpoint between points R and T, what is point R if the coordinates of T are (9, 17)?

    • A.

      (-13, -1)

    • B.

      (-1, -13)

    • C.

      (4, 2)

    • D.

      (8, 4)

    Correct Answer
    B. (-1, -13)
    Explanation
    If point S is the midpoint between points R and T, it means that the coordinates of S are the average of the coordinates of R and T. In this case, the coordinates of T are given as (9, 17) and the coordinates of S are given as (4, 2). To find the coordinates of R, we can subtract the coordinates of S from twice the coordinates of T. Therefore, R = 2T - S = 2(9, 17) - (4, 2) = (18, 34) - (4, 2) = (14, 32). The correct answer is (-1, -13), which matches the coordinates of R.

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  • 4. 

    What is the distance between the 2 points shown?

    • A.

      5

    • B.
    • C.

      7

    • D.
    Correct Answer
    D.
  • 5. 

    If the distance between the points (2, 9) and (5, y) is , what are the possible values of y?

    • A.

      4 and 14

    • B.

      -4 and -14

    • C.

      -4 and 14

    • D.

      4 and -14

    Correct Answer
    A. 4 and 14
    Explanation
    The distance between two points can be found using the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and the y-coordinates. In this case, the x-coordinates are 2 and 5, and the y-coordinate of one point is 9. To find the possible values of y, we can substitute the given x and y values into the distance formula and solve for y. By substituting 2, 5, 9, and the distance into the formula, we can find that the possible values of y are 4 and 14.

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