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Mathematics Quiz: Distance Formula

Test your knowledge on the Distance Formula with the following questions. Choose the most appropriate answer for each question.

Questions

  1. What is the Distance Formula used for in a coordinate plane?

    • A. To find the slope of a line
    • B. To calculate the distance between two points
    • C. To determine the midpoint of a segment
    • D. To graph an equation
  2. Which of the following is the correct Distance Formula for two points ((x_1, y_1)) and ((x_2, y_2))?

    • A. (d = |x_2 - x_1| + |y_2 - y_1|)
    • B. (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2})
    • C. (d = (x_2 - x_1)^2 - (y_2 - y_1)^2)
    • D. (d = \frac{(x_1 + x_2)}{2}, \frac{(y_1 + y_2)}{2})
  3. What is the distance between the points (3, 4) and (7, 1)?

    • A. 4
    • B. 5
    • C. 7
    • D. 10
  4. In a three-dimensional space, which formula represents the distance between points ((x_1, y_1, z_1)) and ((x_2, y_2, z_2))?

    • A. (d = \sqrt{(x_2 - x_1) + (y_2 - y_1) + (z_2 - z_1)})
    • B. (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2})
    • C. (d = |(x_2 - x_1)| + |(y_2 - y_1)| + |(z_2 - z_1)|)
    • D. (d = (x_2 + x_1) + (y_2 + y_1) + (z_2 + z_1))
  5. If point A is at (1, 2) and point B is at (4, 6), what is the distance between points A and B?

    • A. 3
    • B. 5
    • C. 7
    • D. 8

Good luck, and make sure to double-check your calculations!