Question

Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Answer 1

The distance between B to B' is 5

Explanation:

Using the distance lie formula:

Let's say (x2, y2) is (-2,1) and (x1, y1) is (1,5)

`\sqrt{(x2-x1)^(2) +(y2-y1)^(2) } \\\sqrt{(-2-1)^(2) +(1-5)^(2) } \\\sqrt{(-3)^(2) +(-4)^(2) } \\√(9+16)\\√(25) \\= 5`

The distance between the original and new coordinates would be the same, therefore the two will remain a distance of 5.