Question

PLEASE HELP find distance between points

Answer 1

Explanation:

To find the distance between two points, we have to use the distance formula:

`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

Let's solve for line PQ first. We plug in the points into the formula and solve from there.

P: (-5, 1)

Q: (-2, -5)

`PQ=√((-2+5)^2+(-5-1)^2 )`

`PQ=√((3)^2+(-6)^2 )`

`PQ=√(9+36)`

`PQ=√(45)`

`PQ=3√(5)`

Now, let's solve line ML.

M: (5, 3)

L: (2, -3)

`ML=√((2-5)^2+(-3-3)^2 )`

`ML=√((-3)^2+(-6)^2)`

`ML=√(9+36)`

`ML=√(45)`

`ML=3√(5)`

Answer: 3√5, 3√5, yes, they are congruent.