Question

Please help…………..i have more to ask

Answer 1

YES

Explanation:

Find each length using the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

✔️Distance between A(-4, 2) and B(1, 4):

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

Let,

`A(-4, 2) = (x_1, y_1)`

`B(1, 4) = (x_2, y_2)`

`AB = √((1 - (-4))^2 + (4 - 2)^2)`

`AB = √((5)^2 + (2)^2)`

`AB = √(25 + 4)`

`AB = √(29)`

✔️Distance between C(2, -1) and D(4, 4):

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

Let,

`C(2, -1) = (x_1, y_1)`

`D(4, 4) = (x_2, y_2)`

`CD = √((4 - 2)^2 + (4 - (-1))^2)`

`CD = √((2)^2 + (5)^2)`

`CD = √(4 + 25)`

`CD = √(29)`

AB = CD = √29

Therefore, they both have the same length.