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Distance Formula Quiz

Created by

@AffordableRhodochrosite

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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.