Question

Drag each tile to the correct box

Arrange the following pairs of coordinates in order from least to greatest based on the distances between the points.
(4.1) and (2, 2)
(-5. 2) and (-3, -2)
(3.-4) and (-2, 1)
(-1.-2) and (1-4)
(5.-2) and (-1, -1)

Answer 1

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =

1). Distance between (4, 1) and (2, 2) =

=

= 2.24

2). Distance between (-5, 2) and (-3, -2) =

=

= 4.47

3). Distance between (3, -4) and (-2, 1) =

=

= 7.07

4). Distance between (-1, -2) and (1, -4) =

=

= 2.83

5). Distance between (5, -2) and (-1, -1) =

=

= 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Explanation:

Answer 2

Explanation:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

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

1). Distance between (4, 1) and (2, 2) =
`√((4-2)^2+(1-2)^2)`

=
`√(5)`

= 2.24

2). Distance between (-5, 2) and (-3, -2) =
`√((-5+3)^2+(2+2)^2)`

=
`√(20)`

= 4.47

3). Distance between (3, -4) and (-2, 1) =
`√((3+2)^2+(-4-1)^2)`

=
`√(50)`

= 7.07

4). Distance between (-1, -2) and (1, -4) =
`√((1+1)^2+(-4+2)^2)`

=
`√(8)`

= 2.83

5). Distance between (5, -2) and (-1, -1) =
`√((5+1)^2+(-2+1)^2)`

=
`√(37)`

= 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07