Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth.​

Answer 1

The answer is below

Step-by-step explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

`Distance=AB=√((x_2-x_1)^2+(y_2-y_1)^2)`

a) Distance between (-3, 1) and (5, 4)

`Distance=√((5-(-3))^2+(4-1)^2)=√(8^2+3^2)=√(73) =8.5\ units`

b) Distance between (2, 3) and (4, 5)

`Distance=√((4-2)^2+(5-3)^2)=√(2^2+2^2)=√(8) =2.8\ units`

c) Distance between (-5, 7) and (8, 5)

`Distance=√((8-(-5))^2+(5-7)^2)=√(13^2+(-2)^2)=√(173) =13.2\ units`

d) Distance between (-2, 4) and (3, -1)

`Distance=√((3-(-2))^2+(-1-4)^2)=√(5^2+(-5)^2)=√(50) =7.1\ units`