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) (D)</p> Signup and view all the answers

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

<p>No (C)</p> Signup and view all the answers

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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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