Distance Formula Quiz
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Questions and Answers

What is the distance between the points (2, 3) and (4, 1)?

  • $3 oot{2}$
  • $rac{2 oot{2}}{2}$
  • $rac{3 oot{2}}{2}$
  • $2 oot{2}$ (correct)

    • What is the distance between the points (-5, 7) and (-1, 3)?

  • $5 oot{2}$ (correct)
  • $rac{4 oot{2}}{2}$
  • $4 oot{2}$
  • $rac{5 oot{2}}{2}$

    • What is the distance between the points (0, 0) and (36, 15)?

  • $rac{39 oot{2}}{2}$
  • $39$ (correct)
  • $41$
  • $rac{41 oot{2}}{2}$

    • If the distance between towns A and B is 4 km, what are the coordinates of town A and town B?

    <p>A: (4, 0), B: (6, 0)</p> Signup and view all the answers

    Are the points (1, 5), (2, 3), and (-2, -11) collinear?

    <p>No</p> Signup and view all the answers

    Study Notes

    Distance Between Points

    • The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: √((x2 - x1)^2 + (y2 - y1)^2)
    • The distance between points (2, 3) and (4, 1) can be calculated using the formula
    • The distance between points (-5, 7) and (-1, 3) can be calculated using the formula
    • The distance between points (0, 0) and (36, 15) can be calculated using the formula

    Distance Between Towns

    • If the distance between towns A and B is 4 km, the coordinates of town A and town B can be calculated using the distance formula
    • The coordinates of town A and town B can be represented as (x1, y1) and (x2, y2) respectively

    Collinear Points

    • Three points (x1, y1), (x2, y2), and (x3, y3) are collinear if the distance between them is 0
    • The points (1, 5), (2, 3), and (-2, -11) can be checked for collinearity using the distance formula

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    Description

    Test your understanding of the distance formula in coordinate geometry with this quiz on finding the distance between pairs of points. Practice calculating distances using the formula and apply your knowledge to solve problems involving different pairs of coordinates.

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